Relevant bibliographies by topics / Transfer Matrix Method (TMM)

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Transfer Matrix Method (TMM)'

Author: Grafiati
Published: 4 June 2021
Last updated: 2 February 2022

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Journal articles on the topic "Transfer Matrix Method (TMM)"

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He, Bin, Xiaoting Rui, and Huiling Zhang. "Transfer Matrix Method for Natural Vibration Analysis of Tree System." Mathematical Problems in Engineering 2012 (2012): 1–19. http://dx.doi.org/10.1155/2012/393204.

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The application of Transfer matrix method (TMM) ranges from linear/nonlinear vibration, composite structure, and multibody system to calculating static deformation, natural vibration, dynamical response, and damage identification. Generally TMM has two characteristics: (1) the TMM formulae share similarity to the chain mechanics model in terms of topology structure; then TMM often is selected as a powerful tool to analyze the chain system. (2) TMM is adopted to deal with the problems of the discrete system, continuous system, and especial discrete/continuous coupling system with the uniform matrix form. In this investigation, a novel TMM is proposed to analyze the natural vibration of the tree system. In order to make the TMM of the tree system have the two above advantages of the TMM of the chain system, the suitable state vectors and transfer matrices of the typical components of the tree system are constructed. Then the topology comparability between the mechanics model and its corresponding formulae of TMM can be adopted to assembling the transfer matrices and transfer equations of the global tree system. Two examples of natural vibration problems validating the method are given. The formulation of the proposed TMM is mathematically intuitive and can be held and applied by the engineers easily.
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Mohammed, Zahraa Hummam. "The Fresnel Coefficient of Thin Film Multilayer Using Transfer Matrix Method TMM." IOP Conference Series: Materials Science and Engineering 518 (June 5, 2019): 032026. http://dx.doi.org/10.1088/1757-899x/518/3/032026.

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Ding, Jianguo, Wei Zhuang, and Pingxin Wang. "Study on the Seismic Response of a Portal Frame Structure Based on the Transfer Matrix Method of Multibody System." Advances in Mechanical Engineering 6 (January 1, 2014): 614208. http://dx.doi.org/10.1155/2014/614208.

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Portal frame structures are widely used in industrial building design but unfortunately are often damaged during an earthquake. As a result, a study on the seismic response of this type of structure is important to both human safety and future building designs. Traditionally, finite element methods such as the ANSYS and MIDAS have been used as the primary methods of computing the response of such a structure during an earthquake; however, these methods yield low calculation efficiencies. In this paper, the mechanical model of a single-story portal frame structure with two spans is constructed based on the transfer matrix method of multibody system (MS-TMM); both the transfer matrix of the components in the model and the total transfer matrix equation of the structure are derived, and the corresponding MATLAB program is compiled to determine the natural period and seismic response of the structure. The results show that the results based on the MS-TMM are similar to those obtained by ANSYS, but the calculation time of the MS-TMM method is only 1/20 of that of the ANSYS method. Additionally, it is shown that the MS-TMM method greatly increases the calculation efficiency while maintaining accuracy.
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Tsai, Chao-Yang, and Shyh-Chin Huang. "Transfer Matrix Method to Vibration Analysis of Rotors with Coupler Offsets." Shock and Vibration 20, no. 1 (2013): 97–108. http://dx.doi.org/10.1155/2013/401352.

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In this paper a general transfer matrix method (TMM) for rotors containing global and local coupler offset was derived. Rotor response due to imbalances and offsets are then studied via the developed method. The studies showed both global and local offsets played as an external excitation that is a combined effect of all the elements behind the offset. Differences between global offset and local offset were compared and the results showed both types basically retain the same mode patterns but different jumps at the offset. The global offset, yet, imposed more significant dynamic effects since all the offsets accumulate thereafter. The whirling orbits in front and behind the offset were illustrated as well. The results, as expected, showed global offset appeared much larger radii especially after offset. The rotor's whirling orientation reversed, as rotation fell within a certain range and this feature was not changed by offsets. The TMM proposed by this study can be well applied to multiple global and local offsets.
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Zhang, Yin, Jianguo Ding, Hui Zhuang, Yu Chang, Peng Chen, Xiangxiang Zhang, Wenhao Xie, and Jin Fan. "Pounding between Adjacent Frame Structures under Earthquake Excitation Based on Transfer Matrix Method of Multibody Systems." Advances in Civil Engineering 2019 (March 18, 2019): 1–31. http://dx.doi.org/10.1155/2019/5706015.

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In this paper, the case of two adjacent frame structures is studied by establishing a mechanical model based on the transfer matrix method of multibody system (MS-TMM). The transfer matrices of the related elements and total transfer equation are deduced, combining with the Hertz-damp mode. The pounding process of two adjacent frame structures is calculated by compiling the relevant MATLAB program during severe ground motions. The results of the study indicate that the maximum error of the peak pounding forces and the peak displacements at the top of the frame structure obtained by the MS-TMM and ANSYS are 6.22% and 9.86%, respectively. Comparing the calculation time by ANSYS and MS-TMM, it shows that the computation efficiency increases obviously by using the MS-TMM. The pounding mainly occurs at the top of the short structure; meanwhile, multiple pounding at the same time may occur when the separation gap is small. The parametric investigation has led to the conclusion that the pounding force, the number of poundings, the moment of pounding, and the structural displacement are sensitive to the change of the seismic peak acceleration and the separation gap size.
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Abbas, Laith K., Dieter Bestle, and Xiao Ting Rui. "Transfer Matrix Method for the Determination of the Free Vibration of Two Elastically Coupled Beams." Applied Mechanics and Materials 372 (August 2013): 301–4. http://dx.doi.org/10.4028/www.scientific.net/amm.372.301.

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The feasibility of using the transfer matrix method (TMM) to compute the free vibration characteristics of a system composed of continues and discrete elements vibrating in a plane is explored theoretically. In the approach to the problem, a general analytical method based on TMM is developed for the vibrations of two uniform Euler-Bernoulli beams coupled by a spring. The components of the transfer matrix are all functions of the systems natural frequency. The overall transfer equation only involves boundary state vectors, whereas the state vectors at all other connection points do not appear. The state vectors at the boundary are composed of displacements, rotation angles, bending moments and shear forces, which are partly known and partly unknown. Moreover, the overall transfer matrix is independent of the degrees of the freedom. A non-trivial solution of the final overall transfer equation requires the coefficient matrix to be singular. This paper reduces the zero search of its determinate to a minimization problem and demonstrates a simple, robust algorithm being much more efficient than direct enumeration. A numerical result is presented to demonstrate the proposal method.
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Khiem, Nguyen Tien, An Ninh Thi Vu, and Hai Thanh Tran. "MODAL ANALYSIS OF MULTISTEP TIMOSHENKO BEAM WITH A NUMBER OF CRACKS." Vietnam Journal of Science and Technology 56, no. 6 (December 17, 2018): 772. http://dx.doi.org/10.15625/2525-2518/56/6/12488.

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Modal analysis of cracked multistep Timoshenko beam is accomplished by the Transfer Matrix Method (TMM) based on a closed-form solution for Timoshenko uniform beam element. Using the solution allows significantly simplifying application of the conventional TMM for multistep beam with multiple cracks. Such simplified transfer matrix method is employed for investigating effect of beam slenderness and stepped change in cross section on sensitivity of natural frequencies to cracks. It is demonstrated that the transfer matrix method based on the Timoshenko beam theory is usefully applicable for beam of arbitrary slenderness while the Euler-Bernoulli beam theory is appropriate only for slender one. Moreover, stepwise change in cross-section leads to a jump in natural frequency variation due to crack at the steps. Both the theoretical development and numerical computation accomplished for the cracked multistep beam have been validated by an experimental study
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Tournemenne, Robin, and Juliette Chabassier. "A Comparison of a One-Dimensional Finite Element Method and the Transfer Matrix Method for the Computation of Wind Music Instrument Impedance." Acta Acustica united with Acustica 105, no. 5 (July 1, 2019): 838–49. http://dx.doi.org/10.3813/aaa.919364.

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This work presents a computation tool for the calculation of wind instrument input impedance in the context of linear planar wave propagation with visco-thermal losses. The originality of the approach lies in the usage of a specific and simple 1D finite element method (FEM). The popular Transfer Matrix Method (TMM) is also recalled and a seamless formulation is proposed which unifies the cases cylinders vs. cones. Visco-thermal losses, which are natural dissipation in the system, are not exactly taken into account by this method when arbitrary shapes are considered. The introduction of an equivalent radius leads to an approximation that we quantify using the FEM method. The equation actually solved by the TMM in this case is exhibited. The accuracy of the two methods (FEM and TMM) and the associated computation times are assessed and compared. Although the TMM is more efficient in lossless cases and for lossy cylinders, the FEM is shown to be more efficient when targeting a specific precision in the realistic case of a lossy trumpet. Some additional features also exhibit the robustness and flexibility of the FEM over the TMM. All the results of this article are computed using the open-source python toolbox OpenWind.
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Shen, Zhongyuan, and Xue Bai. "Multibody System Discrete Time Transfer Matrix Method for Nonlinear Shear Dynamic analysis of Immersed Tunnels." E3S Web of Conferences 236 (2021): 02035. http://dx.doi.org/10.1051/e3sconf/202123602035.

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Shear seismic response analysis is critical for seismic design of immersed tunnels. According to the structural characters of immersed tunnels and shear dynamic response of their joints, a multibody dynamic model consisting of multi-rigid body, shear hinge, and viscous damping hinge is proposed for shear response analysis, in which the dynamic stiffness of the shear hinge is divided into two stages based on a threshold. Following the discrete time transfer matrix method for multibody system dynamics (MS-DT-TMM), the mechanical model and mathematical expression of each tunnel element is derived first and then assembled for the whole tunnel system. A solution procedure is proposed to solve the shear dynamic response of immersed tunnels using the proposed multibody system model. It is shown that the MS-DT-TMM has the same computational accuracy as the finite element method (FEM) and the modeling process is more efficient and flexible when compared to FEM. Although the MS-DT-TMM discussed herein is only applied to shear response analysis, it can easily be extended to analyze axial force and bending moment of immersed tunnels leading to a complete, rapid yet accurate enough seismic analysis of immersed tunnels suitable for engineering practices.
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Vastiau, Jasper, Cédric Van hoorickx, and Edwin Reynders. "Impact sound prediction of finite floor structures with the modal transfer matrix method." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 263, no. 6 (August 1, 2021): 734–45. http://dx.doi.org/10.3397/in-2021-1636.

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The transfer matrix method (TMM) is commonly employed for wave propagation analysis in layered media of fluid, elastic and porous nature. Up to now it has been used extensively to analyze airborne sound transmission and sound absorption. Its use for impact sound transmission has been investigated to a limited extent, i.e. for thick homogeneous elastic plates of infinite extent and for specific receiver points. This contribution aims to broaden the scope such that the global impact sound, radiated by finite floor structures containing elastic, fluid and/or porous layers, can be analyzed in a more robust way than previously available in literature. A disadvantage of the conventional TMM is that only floors of infinite extent can be implemented. It is possible to remove this drawback using a spatial windowing technique. Furthermore, the modal behavior of the floor is approximately taken into account by projecting the impact force onto the mode shapes and only allowing for the propagation of those waves, corresponding to modal wavenumbers, in the structure. Predictions of the radiated sound power are made for various bare floors and floating floor systems of both infinite and finite extent.
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Dissertations / Theses on the topic "Transfer Matrix Method (TMM)"

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Alizadehyazdi, Vahid. "Stability of Discrete Time Transfer Matrix Method (DT-TMM)." Thesis, Southern Illinois University at Edwardsville, 2016. http://pqdtopen.proquest.com/#viewpdf?dispub=10128867.

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Large dynamic systems and flexible structures like long robot links with many degree of freedoms are always challenging issues for engineers to model and control. These structures can be modeled with some methods like modal superposition and numerical integration.

Transfer Matrix Method (TMM) is another method that can be used to model large systems with a huge number of subsystems and flexible structures.By using Transfer matrix method, the size of matrix reduces. Having smaller matrix sizes helps us to have less computation and fast answer. Also, this method is very flexible, because it is possible for us to add or eliminate one subsystem easily. Transfer matrix method like other methods has its drawbacks. TMM is limited to linear systems and can not be used for non-linear ones. Moreover, this method just gives frequency-domain output and can not perform time-domain simulation.

By combining TMM and numerical integration methods, we have a new method which is called Discrete Time Transfer Matrix Method (DT-TMM). DT-TMM can model non-linear systems too. Time-domain output is another advantage of this method. Two approaches considered in this research to combine TMM and numerical integration. First approach is describing acceleration and velocity based on the displacement. Another approach is using acceleration to calculate the velocity and displacement. Also, different methods of numerical integration like Fox-Euler, Houbolt, Park Stiffly Stable, Newmark Beta and Wilson studied in this research.

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Li, Han. "Transfer Matrix Approach to Propagation of Angular Plane Wave Spectra Through Metamaterial Multilayer Structures." University of Dayton / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=dayton1324508726.

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Frithiof, Fredrik. "A framework for designing a modular muffler system by global optimization." Thesis, KTH, Optimeringslära och systemteori, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-169650.

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When creating a muffler to be installed on a noise generating machine, the design parameters as well as the placements of sound attenuating elements has to be optimized in order to minimize the sound coming out of the equipage. This is exemplified in a small project task for students of a basic course in optimization at KTH. The task is however flawed, since both the way in which the optimization problem is formed is overly simplistic and the algorithm used to solve the problem, fmincon, does not cope well with the mathematical complexity of the model, meaning it gets stuck in a local optimum that is not a global optimum. This thesis is about investigating how to solve both of these problems. The model is modified to combine several frequencies and adjusting them to the sensitivity to different frequencies in the human ear. By doing this, the objective is changed from the previous way of maximizing Dynamic Insertion Loss Dilfor a specific frequency to minimize the total perceived sound level LA.  The model is based on the modular design of TMM from four-pole theory. This divides the muffler into separate parts, with the sound attenuating elements being mathematically defined only by what T matrix it has. The element types to choose from are the Expansion Chamber, the Quarter Wave Resonator and the Helmholtz Resonator. The global optimization methods to choose from are Global Search, MultiStart, Genetic Algorithm, Pattern Search and Simulated Annealing. By combining the different types of sound attenuating elements in every way and solving each case with every global optimization method, the best combination to implement to the model is chosen. The choice is two Quarter Wave Resonators being solved by MultiStart, which provides satisfactory results. Further analysis is done to ensure the robustness of chosen implementation, which does not reveal any significant flaws. The purpose of this thesis is fulfilled.
När man skapar en ljuddämpare som ska installeras på en ljud-genererande maskin bör designparametrarna samt placeringarna av ljuddämpande element optimeras för att minimera ljudet som kommer ut ur ekipaget. Detta exemplifieras i en liten projektuppgift för studenter till en grundkurs i optimering på KTH. Uppgiften är dock bristfällig, eftersom både det sätt som optimeringsproblemet är utformat är alltför förenklat och den algoritm som används för att lösa problemet, fmincon, inte klarar av modellens matematiska komplexitet bra, vilket menas med att den fastnar i ett lokalt optimum som inte är ett globalt optimum. Detta examensarbete handlar om att undersöka hur man kan lösa båda dessa problem. Modellen är modifierad för att kombinera flera frekvenser och anpassa dem till känsligheten för olika frekvenser i det mänskliga örat. Genom att göra detta är målet ändrat från det tidigare sättet att maximera den dynamiska insatsisoleringen DIL för en specifik frekvens till att minimera den totala upplevda ljudnivån LA. Modellen bygger på den modulära designen av TMM från 4-polsteori. Detta delar upp ljuddämparen i separata delar, med ljuddämpande element som matematiskt endast definieras av vilken T matris de har. De elementtyper att välja mellan är expansionskammare, kvartsvågsresonator och Helmholtzresonator. De globala optimeringsmetoder att välja mellan är Global Search, MultiStart, Genetic Algorithm, Pattern Search och Simulated Annealing. Genom att kombinera de olika typerna av ljuddämpande element på alla sätt och lösa varje fall med varje global optimeringsmetod, blir den bästa kombinationen vald och implementerad i modellen. Valet är två kvartsvågsresonatorer som löses genom MultiStart, vilket ger tillfredsställande resultat. Ytterligare analyser görs för att säkerställa robustheten av den valda implementationen, som inte avslöjar några väsentliga brister. Syftet med detta examensarbete är uppfyllt.
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Helán, Radek. "Modelování a optimalizace komplexních vláknových difrakčních struktur." Doctoral thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2009. http://www.nusl.cz/ntk/nusl-233450.

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The thesis discusses the fiber Bragg gratings simulations, analysis and design. In the present time, there are several methods to simulate fiber gratings response based on the stated parameters that define their dimensions and material features. However, this work deals with a different issue, that is the synthesis of the input parameters for demanded spectral responses. The main aim of the work is to achieve a synthesis method that would help to discover parameters describing advanced grating structure, based on the required spectral reflectivity. The basic demand for the parameter synthesis is an achievement of the real values in terms of the consequent production of the suggested structure. The described synthesis method considers advanced fiber grating structure as a structure of several uniform grating sections. The input parameters are estimated in steps, using the well-known direct methods in order to obtain grating responses and feedback to establish the parameters changes. The principle methods involve establishment of initial input parameter values and necessary subsequent algorithm leading to optimize the required spectral response. The initial values are calculated by a simplified model based on the coupled theory equations that are handled for the periodic disturbances in cylindrical waveguide. The following optimization uses the multiple thin film stack and transfer matrix methods. The properties of grating structure spectral reflectivity are step by step calculated while using these direct methods. Input parameters are established in the next several steps. Establishment of input parameters is done subsequently, based on the demanded and calculated output spectral reflectivity properties. Optimizing process is limited by possibilities of the grating manufacture technology. It is possible to assemble arbitrary fiber grating structure taking in term the demanded spectral response. Nevertheless, the calculated input parameters are real for the following manufacture. This method could be used to design optical band stop filter, high-pass and low-pass filters or filters for special applications.
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Ramanathan, Sathish Kumar. "Linear Acoustic Modelling and Testing of Exhaust Mufflers." Thesis, KTH, Aeronautical and Vehicle Engineering, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4340.

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Intake and Exhaust system noise makes a huge contribution to the interior and exterior noise of automobiles. There are a number of linear acoustic tools developed by institutions and industries to predict the acoustic properties of intake and exhaust systems. The present project discusses and validates, through measurements, the proper modelling of these systems using BOOST-SID and discusses the ideas to properly convert a geometrical model of an exhaust muffler to an acoustic model. The various elements and their properties are also discussed.

When it comes to Acoustic properties there are several parameters that describe the performance of a muffler, the Transmission Loss (TL) can be useful to check the validity of a mathematical model but when we want to predict the actual acoustic behavior of a component after it is installed in a system and subjected to operating conditions then we have to determine other properties like Attenuation, Insertion loss etc,.

Zero flow and Mean flow (M=0.12) measurements of these properties were carried out for mufflers ranging from simple expansion chambers to complex geometry using two approaches 1) Two Load technique 2) Two Source location technique. For both these cases, the measured transmission losses were compared to those obtained from BOOST-SID models.

The measured acoustic properties compared well with the simulated model for almost all the cases.

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Kameshki, Esmat Saleh. "Stability of steel frames by the transfer matrix method." Thesis, University of Southampton, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.315349.

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Wang, Peiji. "On Saint-Venant's principle and the state transfer matrix method." Thesis, University of Southampton, 1998. https://eprints.soton.ac.uk/45937/.

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Three exact solutions are considered, within the context of the linear mathematical theory of elasticity, pertaining to the decay of self-equilibrated end loading for a class of geometries based upon polar coordinates. For a curved plane beam, an eigen-equation is derived, whose roots determine the rates of decay and degenerate to the Papkovitch-Fadle solution for the plane strain strip when the beam centre-line radius of curvature approaches infinity; this shows that the decay rates are largely insensitive to the beam curvature except for very small inner radius. For the plane and anti-plane elastic wedge, subjected to self-equilibrated loading on the inner or outer arcs, radial variation of stress is affected by a combination of free-edge stress interference and the convergent or divergent geometry. When the load is applied to the inner arc, the two effects act in concert in which case decay is assured; when the load is applied to the outer arc, the two effects act in opposition, and Saint-Venant’s principle (S.V.P) ceases to be applicable for wedge angles 2α > π for symmetric loading and anti-plane deformation, and 2α > 257º for asymmetric loading. It is concluded that the crack tip stress singularity, which is at the heart of Linear Elastic Fracture Mechanics, is attributable to the failure of S.V.P. for just one particular eigenmode for the wedge angle 2α = 2 π. A Finite Element-Transfer Matrix Method is developed for determination of decay rates of self-equilibrated end loading for frameworks and continuum prismatic beam of arbitrary cross-section. Nodal displacements and forces on either side of a repeating cell are considered as state variables and are related by a cell transfer matrix. Assuming consecutive state vectors to be related by a constant multiple λ leads directly to an eigenvalue problem; the decay factors, λ, are the eigenvalues of the symplectic transfer matrix. Eigenvalues occurs as reciprocal pairs (that is, if λi is an eigenvalue then so is 1/ λi) according to whether decay is from left to right or vice-versa. The multiple eigenvalues λi = 1/ λi = 1 are associated with the rigid body eigenvectors and their related principal vectors which describe the force transmission modes. The matrix of eigen-and principal vectors then forms a similarity matrix which transforms the original transfer matrix into Jordan canonical form. Both bi-orthogonality and symplectic adjoint orthogonality properties of the eigenvectors allow modal decomposition of an arbitrary end load. As a by-product of the method, it is possible to determine exact ‘continuum’ beam properties of the framework, which is useful in preliminary design work. The method is applied to the important case of a beam of rectangular cross-section for a wide range of aspect ratios. The Transfer Matrix Method is modified to become the Force or Displacement Transfer Matrix Method, which has the advantage of reducing in size the original transfer matrix by one half, and overcomes numerical ill-conditioning. Accuracies of all the developed methods are found to be very good when compared with available exact solutions.
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Fletcher, Daniel Alden. "Internal cooling of turbine blades : the matrix cooling method." Thesis, University of Oxford, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.360259.

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Cuesta, Juan D. "Modeling helicopter blade dynamics using a modified Myklestad-Prohl transfer matrix method." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 1994. http://handle.dtic.mil/100.2/ADA289891.

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Komandur, Deepak K. "Load Identification using Matrix Inversion Method (MIM) for Transfer Path Analysis (TPA)." University of Cincinnati / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1563872419648032.

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Books on the topic "Transfer Matrix Method (TMM)"

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Tesár, Alexander. Transfer matrix method. Dordrecht: Kluwer Academic Publishers, 1988.

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Rui, Xiaoting, Guoping Wang, and Jianshu Zhang. Transfer Matrix Method for Multibody Systems. Singapore: John Wiley & Sons Singapore Pte. Ltd, 2017. http://dx.doi.org/10.1002/9781118724811.

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Feng, N. S. Programs for rotor dynamic analysis using transfer matrix method. [S.l.]: School of Mechanical and Industrial Engineering, University of New South Wales, 1988.

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Lo, B. S. K. Analysis of various semiconductor laser diodes using the transfer matrix method. Birmingham: University of Birmingham, 1994.

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Feng, N. S. Programs for rotor dynamic analysis using transfer matrix method. Part II: Program updating and branched system analysis. [Sydney, Australia]: School of Mechanical and Industrial Engineering, University of New South Wales, 1989.

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Zhang, Jianshu, Guoping Wang, and Xiaoting Rui. Transfer Matrix Method for Multibody Systems: Theory and Applications. Wiley, 2018.

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Zhang, Jianshu, Guoping Wang, and Xiaoting Rui. Transfer Matrix Method for Multibody Systems: Theory and Applications. Wiley & Sons, Incorporated, John, 2018.

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Zhang, Jianshu, Guoping Wang, and Xiaoting Rui. Transfer Matrix Method for Multibody Systems: Theory and Applications. Wiley & Sons, Incorporated, John, 2018.

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Tesár, Alexander, and Ludovit Fillo. Transfer Matrix Method: (Enlarged and revised translation) (Mathematics and its Applications). Springer, 1988.

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Center, Langley Research, ed. Coupled bending-torsion steady-state response of pretwisted, nonuniform rotating beams using a transfer-matrix method. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1988.

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Book chapters on the topic "Transfer Matrix Method (TMM)"

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Cao, Zhuangqi, and Cheng Yin. "Analytical Transfer Matrix Method." In Advances in One-Dimensional Wave Mechanics, 15–26. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-40891-5_2.

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Saguet, Pierre. "The TLM Method in Matrix Form and the Z Transform." In Numerical Analysis in Electromagnetics, 123–44. Hoboken, NJ USA: John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118562352.ch4.

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Cao, Zhuangqi, and Cheng Yin. "Exact Quantization Condition via Analytical Transfer Matrix Method." In Advances in One-Dimensional Wave Mechanics, 47–73. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-40891-5_4.

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Wang, Xianping, Cheng Yin, and Zhuangqi Cao. "Transfer Matrix Method and the Graded-Index Waveguide." In Springer Tracts in Modern Physics, 17–42. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-48984-0_2.

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Lieb, Elliott H. "Solution of the Dimer Problem by the Transfer Matrix Method." In Condensed Matter Physics and Exactly Soluble Models, 537–39. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-06390-3_34.

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Fang, Zhang, Zhou Hong, and Wang Erbing. "Matrix Inversion Method for Load Identification in Transfer Paths Analysis." In Lecture Notes in Electrical Engineering, 517–24. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27311-7_69.

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Wang, Guodong, Rui Wang, Yunjian Wang, and Suling Wang. "Temperature Sensitivity Analysis of LPFG by New Transfer Matrix Method." In Electrical, Information Engineering and Mechatronics 2011, 1207–13. London: Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-2467-2_143.

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Zhu, Hengjun, and R. Firoozian. "Turbomachinery Failure Detection — Combination of Transfer Matrix and Finite Element Method." In COMADEM 89 International, 34–39. Boston, MA: Springer US, 1989. http://dx.doi.org/10.1007/978-1-4684-8905-7_6.

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Benamira, Alexis, and Sumanta Pattanaik. "Application of the Transfer Matrix Method to Anti-reflective Coating Rendering." In Advances in Computer Graphics, 83–95. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-61864-3_8.

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Guidara, Mohamed Amine, Lamjed Hadj Taieb, and Ezzeddine Hadj Taïeb. "Determination of Natural Frequencies in Piping Systems Using Transfer Matrix Method." In Design and Modeling of Mechanical Systems - II, 765–74. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-17527-0_76.

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Conference papers on the topic "Transfer Matrix Method (TMM)"

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Zeng, Qingna, Fenggang Zang, Yixiong Zhang, and Donghui Wang. "A Transfer Matrix Method for Free Vibration Analysis of Tapering Pipe." In ASME 2019 Pressure Vessels & Piping Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/pvp2019-93118.

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Abstract In this paper, theoretical solutions of free transverse vibration for tapering pipe considering variable cross section have been investigated using Bessel function in low frequency domain. Natural frequency was calculated by transfer matrix method (TMM) based on an accurate theoretical model. The effectiveness and validity of TMM with Bessel function was confirmed in comparison with TMM of discrete uniform pipe and Finite Element Method. Furthermore, dimensionless model was proposed to avoid the singularity, instability and overflow in calculation. The geometry effect, such as tapering ratio, thickness-radius and length-radius ratio influence on the nature frequency was explored. The present study was envisaged to provide useful insights for dynamic analysis of pipeline systems.
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Rui, Xiaoting, Guoping Wang, Laifeng Yun, Bin He, Fufeng Yang, and Bao Rong. "Advances in Transfer Matrix Method of Multibody System." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86433.

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Multibody system dynamics has become important theoretical tool for wide engineering problems analysis in the world. Transfer matrix method of multibody system (MS-TMM) is a new approach for multibody system dynamics, which is developed in 20 years. In this paper, the transfer matrix method for linear and nonlinear multibody systems are introduced respectively. For linear multibody systems, the new concept of body dynamics equation and augmented eigenvector, the construction method of orthogonality, and the computing method of vibration characteristics and dynamic response are introduced; For nonlinear multibody systems, the discrete time transfer matrix method of multibody system (MS-DT-TMM) are presented. The apply of the transfer matrix method for multibody systems with tree, closed loop and network structures are also introduced. The transfer matrix method has good characteristics: 1 It does not require overall dynamics equations of system and simplify the solution procedure. 2 It has high computing speed, because the system matrices are always small irrespective of the size of a system. 3 It avoids the difficulties caused by developing overall dynamic equations of a system and by computing too high order matrices. 4 It provides maximum flexibility in modeling various configurations of multibody systems, by creating library of transfer matrices and assembling them easily, and by introducing any suitable numerical integration scheme. The new method is efficient for linear and nonlinear multi-rigid-flexible-body system, and it has been paid great attention, because many engineering problem of important mechanical system were solved effectively by using this method.
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Krauss, Ryan W., and Wayne J. Book. "A Python Software Module for Automated Identification of Systems Modeled With the Transfer Matrix Method." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-42319.

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This paper presents a software module for intelligently automating system identification, especially for dynamic systems modeled with the transfer matrix method (TMM). The TMM is a modeling approach that represents the elements of a dynamic system with matrices that transfer a vector of states from one end of the element to the other. A system model is formed by multiplying element transfer matrices together to form a system transfer matrix. The TMM is capable of modeling continuous elements without discretization. Existing system identification packages cannot handle continuous models of distributed-parameter systems and therefore cannot be used to identify TMM models. This paper presents a Python software module for TMM modeling that includes integrated system identification capabilities. This software module intelligently automates the system identification process, significantly reducing the time and effort required for system identification and eliminating errors stemming from low-level details.
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Chu, Mengqiu, Guoning Si, Xuping Zhang, and Haijie Li. "Dynamic Modelling of a Planar Parallel Robot Manipulator Using the Discrete Time Transfer Matrix Method." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-98333.

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Abstract This paper aims to develop a new computationally efficient method for the dynamic modelling of a Planar Parallel Manipulator (PPM) based on the Discrete Time Transfer Matrix Method (DT-TMM). In this preliminary work, we use a 3-PRR PPM as a study case to demonstrate the major procedures and principles of employing the DT-TMM for the dynamic modelling of a PPM. The major focus of this work is to present the basic principles of the DT-TMM for the dynamic modelling of a PPM: decomposing the whole parallel manipulator to the individual components, establishing the dynamics of each component/link, linearizing the component/element dynamics to obtain the transfer matrix of each component/link, and assembling the component dynamics into the system dynamics of the PPM using the transfer matrices of all components/elements. To make the work more readable, the brief introduction of the inverse kinematics and the inverse dynamics is also included. The numerical simulations are conducted based on the 3-PRR PPM with rigid links in this preliminary research effort. The simulation results are compared with those from the model using the principle virtual work method and ADAMS software. The numerical simulation results and comparison demonstrate the effectiveness of the dynamic modelling method using DT-TMM for the PPM.
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He, Bin, and Jin Long. "Differential Quadrature Discrete Time Transfer Matrix Method for Vibration Mechanics." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85354.

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Transfer matrix method is a practical technology for vibration analysis of engineering mechanics. In this paper, Differential Quadrature Discrete Time–Transfer Matrix Method (DQ-DT-TMM) is presented for solving vibration mechanics. Firstly ordinary differential equations of the sub-structure or the element of the mechanical system are determined by classical mechanics rule and transformed as a set of algebraic equations at some discrete time points by the application of differential quadrature method. Then by extending the state vector of transfer matrix method, new transfer equations and transfer matrices of the sub-structures of the mechanical system are developed. The Riccati transform can be used to improve the computational convergence of the method. Several numerical examples show the proposed method can be regarded as an efficient tool for transient response analysis of vibration system.
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Farshidianfar, Anooshiravan, Ali A. Ghassabi, Mohammad H. Farshidianfar, and Mohammad Hoseinzadeh. "Vibration Analysis of Drug Delivery CNTs Using Transfer Matrix Method." In ASME 2011 9th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2011. http://dx.doi.org/10.1115/icnmm2011-58235.

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The free vibration and instability of fluid-conveying multi-wall carbon nanotubes (MWCNTs) are studied based on an Euler-Bernoulli beam model. A theory based on the transfer matrix method (TMM) is presented. The validity of the theory was confirmed for MWCNTs with different boundary conditions. The effects of the fluid flow velocity were studied on MWCNTs with simply-supported and clamped boundary conditions. Furthermore, the effects of the CNTs’ thickness, radius and length were investigated on resonance frequencies. The CNT was found to posses certain frequency behaviors at different geometries. The effect of the damping corriolis term was studied in the equation of motion. Finally, a useful simplification is introduced in the equation of motion.
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Ke, Chong, and Xingyong Song. "Computationally Efficient Dynamics Modeling for Downhole Drilling System Integrating Finite Element and Transfer Matrix." In ASME 2016 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/dscc2016-9901.

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This paper proposes a novel computationally efficient dynamics modeling approach for downhole well drilling system. The existing drilling modeling methods are either computationally intensive such as those using finite element method (FEM), or weak in fidelity for complex geometry such as those using transfer matrix method (TMM). To take advantage of the benefits of FEM and TMM and avoid their drawbacks, this paper presents a new hybrid method integrating both of the aforementioned modeling approaches, enabled by the unique structural geometry of the drilling system. Numerical simulation results are presented to demonstrate the effectiveness of the proposed hybrid modeling approach.
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Arai, Masayuki, Shoichi Kuroda, and Kiyohiro Ito. "Elastic-Plastic Analysis of Pipe Structure by Transfer Matrix Method." In ASME 2019 Pressure Vessels & Piping Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/pvp2019-93169.

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Abstract Pipe systems have been widely used in industrial plants such as power stations. In these systems, it is often required to predict the displacement and stress distribution. Analytical and numerical methods such as the finite element method (FEM), boundary element method (BEM), and frame structure method (FSM) are typically adopted to predict the displacement and stress distribution. The analytical methods are solved based on the Timoshenko beam theory, but the problem that can be solved is limited to simple geometry under simple boundary conditions. Both FEM and BEM can be applied to more complicated problems, although this usually involves a large number of degrees of freedom in a stiffness matrix. The structure is modeled by a beam element in FSM. However, the stiffness matrix still becomes large, as does the matrix size constructed in FEM and BEM. In this study, the transfer matrix method (TMM) is studied to effectively solve complicated problems such as a pipe structure under a small size of the stiffness matrix. The fundamental formula is extended to apply to an elastic-plastic problem. The efficiency and simplicity of this method is demonstrated to solve a space-curved pipe system that involves elbows. The results are compared with those obtained by FEM to verify this method.
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Li, Shuaijun, Bryan W. Karney, and Gongmin Liu. "Application of Transfer Matrix Method to Dynamic Analysis of Pipes With FSI." In ASME 2014 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/pvp2014-28221.

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Analytical models of three dimensional pipe systems with fluid structure interaction (FSI) are described and discussed, in which the longitudinal vibration, transverse vibration and torsional vibration were included. The transfer matrix method (TMM) is used for the numerical modeling of both fluidic and structural equations and then applied to the problem of predicting the natural frequencies, modal shapes and frequency responses of pipe systems with various boundary conditions. The main advantage of the present approach is that each pipe section of pipe system can be independently analyzed by a unified matrix expression. Thus the modification of any parameter such as pipe shapes and branch numbers does not involve any change to the solution procedures. This makes a parameterized analysis and further mechanism investigation much easier to perform compared to most existing procedures.
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Fukui, Takahiro, Toshihiko Asami, and Tomohiko Ise. "Analysis of Wave Propagation in Overhead Contact Wire of Trains Using the Transfer Matrix Method." In ASME 2013 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/pvp2013-97850.

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In this paper, we propose a method for analyzing the vibration properties of contact wires (trolley wires) using the transfer matrix method (TMM), by treating them as a periodic structure. When the speed of the train increases, self-excitation vibration of the wires may occur. When the trolley wires repeatedly contact and separate from the pantograph, the pantograph is worn by the sparks. Therefore, the vibration of the trolley wires must be kept as small as possible. For such problems, many researchers have proposed vibration analysis of the wires. However, these methods are not suitable for the vibration analysis of wires because of the very complicated wave propagation phenomenon. The TMM proposed in this study is an easy technique for studying wave propagation since the vibration properties can be simplified greatly by handling the smallest unit of repetition of the structure. Using this method, we can identify the frequencies of the vibration-attenuating domain (stop-band) and the vibration-amplifying domain (pass-band). If we can bring the excitation frequency of the wire to the stop-band domain, wear of the pantograph can be reduced. Here, we introduce three cell models; two of them do not take into account the elasticity of the trolley wire, and the other does. Then, we discuss how the stop-band appears in these models.
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Reports on the topic "Transfer Matrix Method (TMM)"

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L. Pan, Y. Seol, and G. Bodvarsson. Improved Scheme for Modeling Mass Transfer between Fracture and Matrix Continua with Particle Tracking Method. Office of Scientific and Technical Information (OSTI), April 2004. http://dx.doi.org/10.2172/837504.

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Zhuo, Ye. The theoretical study of passive and active optical devices via planewave based transfer (scattering) matrix method and other approaches. Office of Scientific and Technical Information (OSTI), January 2011. http://dx.doi.org/10.2172/1029601.

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LI, Ming. The Study of Electromagnetic Wave Propogation in Photonic Crystals Via Planewave Based Transfer (Scattering) Matrix Method with Active Gain Material Applications. Office of Scientific and Technical Information (OSTI), January 2007. http://dx.doi.org/10.2172/933133.

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