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Letteratura scientifica selezionata sul tema "Governing differential equations of displacement"

Autore: Grafiati

Pubblicato: 10 dicembre 2022

Ultima modifica: 28 gennaio 2023

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Articoli di riviste sul tema "Governing differential equations of displacement"

Huang, Hui Rong, Ji Ping Hao, Hai Xia Zhang e Yi Huang. "Displacement Governing Equations of Moderately Thick Cylindrical Shallow Shells by Transverse Shearing Deformation and the General Solution". Advanced Materials Research 291-294 (luglio 2011): 2066–70. http://dx.doi.org/10.4028/www.scientific.net/amr.291-294.2066.

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Displacement fundamental equations of the moderately thick cylindrical shallow shells concerning five independent variables, i.e. five middle surface displacements are established based on the displacement fundamental equations of the moderately thick shells by transverse shearing deformation and basic hypothesis on shallow shells. Three assistant displacement functions are introduced to solve the equations, which are tenth-order differential equations with variable coefficient; and then five second-order differential equations are converted into a second-order differential equation and two fourth-order transition differential equations using the Cauchy-Riemann condition, afterwards another assistant displacement function is introduced to build its decoupled governing differential equations, finally five displacement components through four assistant displacement functions are obtained.

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Huang, Hui Rong, Ji Ping Hao, Hai Xia Zhang e Yi Huang. "Displacement Fundamental Equations and Analysis of Governing Equations of the Circular Moderately Thick Shallow Spherical Shells". Advanced Materials Research 291-294 (luglio 2011): 2071–75. http://dx.doi.org/10.4028/www.scientific.net/amr.291-294.2071.

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Displacement fundamental equations of moderately thick shallow spherical shells in polar coordinates concerning five independent variables, i.e. five middle surface displacements are established, based on the displacement fundamental equations of the moderately thick shells by transverse shearing deformation and basic hypothesis on shallow shells. Four assistant displacement functions are introduced to solve displacement fundamental equations of circular moderately thick shallow spherical shells , which are tenth-order differential equations with variable coefficient, then the decoupled governing differential equations are built up, and five displacement components through four assistant displacement functions are obtained.

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Bharath, S., B. C. Nakra e K. N. Gupta. "Mathematical Model of a Railway Pneumatic Brake System With Varying Cylinder Capacity Effects". Journal of Dynamic Systems, Measurement, and Control 112, n. 3 (1 settembre 1990): 456–62. http://dx.doi.org/10.1115/1.2896164.

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Governing equations for the analysis of pressure transient are derived from the principle of conservation of mass and momentum for a pneumatic brake system, which consists of a train pipe connected to a number of linear actuators (brake cylinders with piston displacement). The governing one-dimensional non-linear partial differential equations for the train pipe, non-linear ordinary differential equations for the brake cylinders, and second-order differential equation of motion for piston displacement are solved to determine the pressure transients in the brake system for a step change in pressure at the inlet. The governing equations are nondimensionalized and reduced to a set of ordinary nonlinear differential difference equations and integrated by standard numerical methods. The flow is considered isothermal, and the friction effects for turbulent and laminar flow are evaluated by quasi-steady state approximation. The auxiliary reservoir volume effect is also included. The results are compared with the experimental data obtained on a brake test rig.

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Tuzcu, Ilhan, Joshua K. Moua e Joe G. Olivares. "Control of a thermoelastic beam using heat actuation". Journal of Vibration and Control 23, n. 20 (29 gennaio 2016): 3309–26. http://dx.doi.org/10.1177/1077546316629251.

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This paper explores the idea of using heat as an actuator to simultaneously control vibration and temperature of a thermoelastic beam. We first model the beam as a slender, uniform cantilever beam of rectangular cross-section subject to heat through heat patches on the lower and upper surfaces at some discrete spanwise locations. The governing equations of the model are two coupled partial differential equations: one governing the elastic bending displacement and one governing the two-dimensional heat conduction of the beam. Through a discretization, the partial differential equations are replaced by a set of ordinary differential equations in a compact state-space form. We show that the coupling is actually between elastic displacement and those components of temperature contributing to the thickness-wise gradient at the midplane. The linear quadratic regulator in conjunction with the Kalman–Bucy filter is used for the control design to simultaneously damp out the displacement and the gradient. In a numerical example, we show the presence of thermoelastic damping due to the coupling. We also show that the displacement and gradient can simultaneously be controlled by using displacement measurements only, and that for less control effort it is also necessary to include some temperature measurements in the feedback.

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Chang, Tai Ping. "Stochastic Nonlinear Vibration of Fluid-Loaded Double-Walled Carbon Nanotubes". Applied Mechanics and Materials 284-287 (gennaio 2013): 362–66. http://dx.doi.org/10.4028/www.scientific.net/amm.284-287.362.

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This paper investigates the stochastic dynamic behaviors of nonlinear vibration of the fluid-loaded double-walled carbon nanotubes (DWCNTs) by considering the effects of the geometric nonlinearity and the nonlinearity of van der Waals (vdW) force. The nonlinear governing equations of the fluid-conveying DWCNTs are formulated based on the Hamilton’s principle. The Young’s modulus of elasticity of the DWCNTs is assumed as stochastic with respect to the position to actually describe the random material properties of the DWCNTs. By utilizing the perturbation technique, the nonlinear governing equations of the fluid-conveying can be decomposed into two sets of nonlinear differential equations involving the mean value of the displacement and the first variation of the displacement separately. Then we adopt the harmonic balance method in conjunction with Galerkin’s method to solve the nonlinear differential equations successively. Some statistical dynamic response of the DWCNTs such as the mean values and standard deviations of the amplitude of the displacement are computed. It is concluded that the mean value and standard deviation of the amplitude of the displacement increase nonlinearly with the increase of the frequencies.

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Lee, Sen Yung, e Shueei Muh Lin. "Bending Vibrations of Rotating Nonuniform Timoshenko Beams With an Elastically Restrained Root". Journal of Applied Mechanics 61, n. 4 (1 dicembre 1994): 949–55. http://dx.doi.org/10.1115/1.2901584.

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Without considering the Coriolis force, the governing differential equations for the pure bending vibrations of a rotating nonuniform Timoshenko beam are derived. The two coupled differential equations are reduced into two complete fourth-order differential equations with variable coefficients in the flexural displacement and in the angle of rotation due to bending, respectively. The explicit relation between the flexural displacement and the angle of rotation due to bending is established. The frequency equations of the beam with a general elastically restrained root are derived and expressed in terms of the four normalized fundamental solutions of the associated governing differential equations. Consequently, if the geometric and material properties of the beam are in polynomial forms, then the exact solution for the problem can be obtained. Finally, the limiting cases are examined. The influence of the coupling effect of the rotating speed and the mass moment of inertia, the setting angle, the rotating speed and taper ratio on the natural frequencies, and the phenomenon of divergence instability (tension buckling) are investigated.

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Gupta, Bipin K., e Dipanjan Basu. "Nonlinear solutions for laterally loaded piles". Canadian Geotechnical Journal 57, n. 10 (ottobre 2020): 1566–80. http://dx.doi.org/10.1139/cgj-2019-0341.

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A nonlinear analysis framework for laterally loaded piles is presented that is as accurate as equivalent three-dimensional nonlinear finite element analysis, but computationally one order of magnitude faster. The nonlinear behavior of sands and clays are account for by using hyperbolic modulus–reduction relationships. These nonlinear–elastic constitutive models are used to calculate the reduced modulus at different points in the soil based on the soil strains induced by lateral pile displacement. The reduced modulus at different points in the soil domain are spatially integrated to calculate the reduced soil resistance parameters associated with the differential equation governing the lateral pile displacement. The differential equations governing the lateral displacements of pile and soil under equilibrium are obtained by applying the principle of virtual work to a continuum-based pile–soil system. These coupled differential equations are solved using the one-dimensional finite difference method following an iterative algorithm. The accuracy of the analysis is verified against equivalent three-dimensional nonlinear finite element analysis, and the validity of the analysis in predicting the field response is checked by comparisons with multiple pile load test results. Parametric studies are performed to gain insights into the lateral pile response.

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Lee, S. Y., e J. C. Chao. "Exact Solutions for Out-of-Plane Vibration of Curved Nonuniform Beams". Journal of Applied Mechanics 68, n. 2 (16 maggio 2000): 186–91. http://dx.doi.org/10.1115/1.1346679.

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The governing differential equations for the out-of-plane vibrations of curved nonuniform beams of constant radius are derived. Two physical parameters are introduced to simplify the analysis, and the explicit relations between the torsional displacement, its derivative and the flexural displacement are derived. With these explicit relations, the two coupled governing characteristic differential equations can be decoupled and reduced to one sixth-order ordinary differential equation with variable coefficients in the out-of-plane flexural displacement. It is shown that if the material and geometric properties of the beam are in arbitrary polynomial forms, then the exact solutions for the out-of-plane vibrations of the beam can be obtained. The derived explicit relations can also be used to reduce the difficulty in experimental measurement. Finally, two limiting cases are considered and the influence of taper ratio, center angle, and arc length on the first two natural frequencies of the beams are illustrated.

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Alibeigloo, A. "Static analysis of an anisotropic laminated cylindrical shell with piezoelectric layers using differential quadrature method". Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 222, n. 6 (1 giugno 2008): 865–80. http://dx.doi.org/10.1243/09544062jmes866.

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A three-dimensional solution is presented for the static analysis of an anisotropic laminated cylindrical shell embedded in piezoelectric layers with arbitrary conditions at the ends, using the differential quadrature method (DQM). With the Soong assumption, governing equations are reduced to differential equations with constant coefficients. By applying the DQM to the obtained governing differential equations and to the boundary conditions along the longitudinal direction, new state equations for state variables are derived at discrete points. Stress, displacement, and electric potential distributions are obtained by solving these state equations. Both direct and inverse piezoelectric effects are investigated, and the influence of piezoelectric layers on the mechanical behaviour of the shell is studied. The method is validated by comparing the numerical results for the shell with the simply supported edges, which can be solved analytically.

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Wang, Fan. "Continuum Analysis for Plate-Cone Spherical Reticulated Shell". Advanced Materials Research 317-319 (agosto 2011): 124–27. http://dx.doi.org/10.4028/www.scientific.net/amr.317-319.124.

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Plate-cone reticulated shell is a new type of space structures with good mechanical behavior and technical economy. In this paper, a continuum analysis method for plate-cone spherical reticulated shell which is equated to three layers thin shell is put forward. Based on mechanical characteristics of plate-cone spherical reticulated shell, the equivalent stiffness is derived through the theory of elasticity. Then, plate-cone spherical reticulated shell is equated to a special type of three layers thin shell working interactively, the governing differential equations are derived on the basis of the theory of thin shells, these differential equations being from the displacement method and the mixed method of derivation. The solution of this system of differential equations gives the displacements and internal forces of plate-cone spherical reticulated shell.

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Più fonti

Tesi sul tema "Governing differential equations of displacement"

Wildy, Stuart James. "Scanning laser doppler vibrometry for strain measurement and damage detection". Thesis, 2012. http://hdl.handle.net/2440/93519.

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Numerous strain measurement and damage detection techniques have been developed over the last century. These techniques include strain gauges, digital image correlation, radiography and ultrasonic inspections. All have various advantages, as well as disadvantages, which make each suited to specific applications. With the development of laser Doppler vibrometry, a number of techniques have been established for non-destructive evaluation, such as the measurement of bending strain, as well as damage detection using kinematic parameters, including displacement and curvature. With recent advancements in laser Doppler vibrometry technology (such as 3D scanning laser Doppler vibrometry for three-dimensional displacement measurements, improved velocity decoders and increased spatial resolution) the door has been opened to develop techniques for measuring surface strain from in-plane displacements, as well as the development of new damage detection techniques based on the fundamental principle of deformation:- the governing differential equation of displacement. The extensive literature review contained in this thesis identified a number of gaps in the field, including the evaluation of the accuracy of quasi-static bending strain measurements using current 1D SLDV technology, the precision of full-field surface strain measurement techniques utilising 3D SLDV, and new detection techniques based on the violation of the governing differential equations of displacement. Thus, the research contained in this thesis focussed on these areas. The first part of this thesis presents an investigation into the use of 1D and 3D scanning laser Doppler vibrometry for non-contact measurement of quasi-static bending strain in beams and surface strain in plates, respectively. The second part presents a new damage detection technique based on the governing differential equations of displacement in beam and plate structures. Two algorithms are developed to determine a violation in the governing differential equations created by either a delamination in a composite beam with out-of-plane displacements, or by a crack in a plate with in-plane displacements.
Thesis (Ph.D.) -- University of Adelaide, School of Mechanical Engineering, 2012

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Libri sul tema "Governing differential equations of displacement"

Zhang, Zhijiang, e Weihua Deng. High Accuracy Algorithm for the Differential Equations Governing Anomalous Diffusion: Algorithm and Models for Anomalous Diffusion. World Scientific Publishing Co Pte Ltd, 2018.

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Jutas, Audrius, e Saulius Diliūnas. General Differential Equations for the Calculation of the Displacement and Slope in the Cantilever and Simply Supported Overhanging Beams. KTU leidykla "Technologija", 2019. http://dx.doi.org/10.5755/e01.9786090216521.

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Stone, H. A. Fundamentals of fluid dynamics with an introduction to the importance of interfaces. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198789352.003.0001.

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The topics discussed are all related to basic fluid mechanics. In these introductory notes I highlight some of the main features of fluid flows and their mathematical characterization. There is much physical intuition encapsulated in the differential equations, and one of our goals is to gain more experience (i) understanding the governing equations and various related principles of kinematics, (ii) developing intuition with approximating the equations, (iii) applying the principles to a wide range of problems, which includes (iv) being able to rationalize scaling laws and quantitative trends, often without having a detailed solution in hand. Where possible we provide examples of the ideas with ‘soft interfaces’ in mind.

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Capitoli di libri sul tema "Governing differential equations of displacement"

Mazhar, Zeka. "Governing Differential Equations". In Fluid Mechanics and Its Applications, 19–23. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-29895-5_3.

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Huang, Hou-Cheng, Zheng-Hua Li e Asif S. Usmani. "Governing Differential Equations". In Finite Element Analysis of Non-Newtonian Flow, 7–21. London: Springer London, 1999. http://dx.doi.org/10.1007/978-1-4471-0799-6_2.

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Huang, Hou-Cheng, e Asif S. Usmani. "Governing Differential Equations". In Finite Element Analysis for Heat Transfer, 7–20. London: Springer London, 1994. http://dx.doi.org/10.1007/978-1-4471-2091-9_2.

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Shang, De-Yi, e Liang-Cai Zhong. "Pseudo-Similarity Transformation of Governing Partial Differential Equations". In Heat Transfer of Laminar Mixed Convection of Liquid, 55–66. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-27959-6_4.

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Shang, De-Yi, e Liang-Cai Zhong. "Pseudo-Similarity Transformation of Governing Partial Differential Equations". In Heat Transfer of Laminar Mixed Convection of Liquid, 97–114. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-27959-6_7.

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Infante, Gennaro, e Paolamaria Pietramala. "The Displacement of a Sliding Bar Subject to Nonlinear Controllers". In Differential and Difference Equations with Applications, 429–37. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7333-6_37.

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Kabus, Sven, Bernd Fischer e Astrid Franz. "Variational Image Registration Allowing for Discontinuities in the Displacement Field". In Image Processing Based on Partial Differential Equations, 363–77. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-33267-1_20.

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Anand, Lallit, e Sanjay Govindjee. "Principles of minimum potential energy and complementary energy". In Continuum Mechanics of Solids, 228–48. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198864721.003.0012.

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With the displacement field taken as the only fundamental unknown field in a mixed-boundary-value problem for linear elastostatics, the principle of minimum potential energy asserts that a potential energy functional, which is defined as the difference between the free energy of the body and the work done by the prescribed surface tractions and the body forces --- assumes a smaller value for the actual solution of the mixed problem than for any other kinematically admissible displacement field which satisfies the displacement boundary condition. This principle provides a weak or variational method for solving mixed boundary-value-problems of elastostatics. In particular, instead of solving the governing Navier form of the partial differential equations of equilibrium, one can search for a displacement field such that the first variation of the potential energy functional vanishes. A similar principle of minimum complementary energy, which is phrased in terms of statically admissible stress fields which satisfy the equilibrium equation and the traction boundary condition, is also discussed. The principles of minimum potential energy and minimum complementary energy can also be applied to derive specialized principles which are particularly well-suited to solving structural problems; in this context the celebrated theorems of Castigliano are discussed.

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Vijayan, Pallippattu Krishnan, Arun K. Nayak e Naveen Kumar. "Governing differential equations for natural circulation systems". In Single-Phase, Two-Phase and Supercritical Natural Circulation Systems, 69–118. Elsevier, 2019. http://dx.doi.org/10.1016/b978-0-08-102486-7.00003-2.

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"Numerical methods for the time fractional differential equations". In High Accuracy Algorithm for the Differential Equations Governing Anomalous Diffusion, 19–66. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813142213_0003.

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Atti di convegni sul tema "Governing differential equations of displacement"

Zhou, Jianping, e Zhigang Feng. "Transient Response of Distributed Parameter Systems". In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-4080.

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Abstract A semi-analytic method is presented for the analysis of transient response of distributed parameter systems which are consist of one dimensional subsystems. The system is first divided into one dimensional sub-systems. Within each subsystem, replacing differentials on time t by finite difference, the governing partial differential equations are reduced to difference-differential equations. The solution of derived ordinary differential equations is obtained in an exact and closed form by distributed transfer function method and represented in nodal displacement parameters. Assemling global equilibrium equations at each nodes according to displacement continuity and force equilibrium requirements gives simutaneous linear algebraic equations. Numerical results are illustrated and compared with that of finite element method.

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Jackson, Dominic R., e S. Olutunde Oyadiji. "Free Vibration Analysis of Rotating Tapered Bresse-Rayleigh Beams Using the Differential Transformation Method". In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87843.

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The free vibration characteristics of a rotating tapered Rayleigh beam is analysed in this study. First, the strain-displacement relationship for the rotating beam is formulated and used to derive the kinetic and strain energies in explicit analytical form. Second, Hamilton’s variational principle is used to derive the governing differential equation of motion and the associated boundary conditions. Third, the Differential Transformation Method (DTM) is applied to reduce the governing differential equations of motion and the boundary conditions to a set of algebraic equations from which the frequency equation is derived. Next, a numerical algorithm implemented in the software package Mathematica is used to compute the natural frequencies of vibration for a few paired combinations of clamped, pinned and free end conditions of the beam. Also, the variation of the natural frequencies of vibration with respect to variations in the rotational speed, hub radius, taper ratio and the slenderness ratio is studied. The results obtained from the Bresse-Rayleigh theory are compared with results obtained from the Bernoulli-Euler and Timoshenko theories to demonstrate the accuracy and relevance of their application.

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Yang, Longxiang, e Stanley G. Hutton. "Numerical Formulation of Nonlinear Vibrations of Elastically-Constrained Rotating Disks". In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0322.

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Abstract An analysis of nonlinear vibrations of an elastically-constrained rotating disk is developed. The equations of motion, which are two coupled nonlinear partial differential equations corresponding to the transverse force equilibrium and to the deformation compatibility, are first developed by using von Karman thin plate theory. Then the stress function is analytically solved from the compatibility equation by assuming a multi-mode transverse displacement field. Galerkin’s method is applied to transform the force equilibrium equation into a set of coupled nonlinear ordinary differential equations in terms of time functions. Finally, numerical integration is used to solve the time governing equations, and the effects of nonlinearity on the vibrations of a rotating disk are discussed.

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Tuzcu, Ilhan, e Javier Gonzalez-Rocha. "Modeling and Control of a Thermoelastic Beam". In ASME 2013 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/dscc2013-4025.

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The objective of this paper is to model a thermoelastic beam and use thermoelectric heat actuators dispersed over the beam to control not only its vibration, but also its temperature. The model is represented by two coupled partial differential equations governing the elastic bending displacement and temperature variation over the length of the beam. The partial differential equations are replaced by a set of ordinary differential equations through discretization. The first-order ordinary differential equations are cast in the compact state-space form to be used in the thermoelastic analysis and control. The Linear Quadratic Gaussian (LQG) is used for control design. An numerical application to a uniform cantilever beam demonstrates the coupling between the temperature and the elastic displacement and feasibility of using thermoelectric actuators in controlling the vibration and temperature simultaneously.

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Shyu, In-Ming K., Dean T. Mook e Raymond H. Plaut. "A Nonlinear Analysis of the Whirling Motions of Slender Beams Under Various Resonant Excitations". In ASME 1991 Design Technical Conferences. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/detc1991-0349.

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Abstract The response of a slender, elastic, cantilevered beam to a simple harmonic excitation is investigated. The nonlinear equations governing the motion of the beam are essentially those derived earlier by Crespo da Silva and Glynn (1978). In the current study, the governing equations are extended to include static deflection. These equations not only include nonlinear curvature, nonlinear inertia, inextensionality and static deflection, but also include torsional displacement. In all cases, the torsional displacement is written in terms of lateral displacements and eliminated from the governing equations. Previous derivations of equations of motion contain only the linear and cubic terms without consideration of the static displacement produced by the weight of the beam. As a result of this static deflection, there are quadratic terms in the governing equations, which introduce the possibility of superharmonic and subharmonic resonances of order two. The partial-differential equations of motion are converted into a system of coupled ordinary-differential equations in time by the application of Galerkin’s procedure. Approximate solutions of the temporal equations are determined by the method of multiple scales. The analysis reveals that only the in-plane modes directly excited by a primary or secondary resonance and the out-of-plane modes excited by an internal resonance are involved in the first approximation of the response. The amplitudes of the other modes decay. Under some circumstances, there is no steady-state (constant amplitude, constant phase) response. Instead, the amplitude and phase are slowly modulated. Under some circumstances, the modulations are harmonic and produce discrete side bands around the fundamental frequency. For other circumstances, the modulations are chaotic. Both stable and unstable whirling motions are found in every resonance when the principal moments of inertia of the cross-section are approximately equal. The longer the beam is, the more prominent the whirling motion becomes. The accuracy of some of the approximate solutions is verified by numerical integration. The analysis reveals some interesting possibilities: For example, in a subharmonic resonance of order two, it is possible for the out of plane motion to have a frequency that is exactly one half that of the in-plane motion, which has a frequency equal to that of the excitation. It is also possible for the frequency of the in-plane motion to be equal to that of the out-of-plane motion, which is the one half frequency of the excitation.

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Malaeke, Hasan, Hamid Moeenfard e Amir H. Ghasemi. "Nonlinear Coupled Transverse and Axial Vibration of Variable Cross-Section Beam Flexures Interconnecting Rigid Body". In ASME 2016 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/dscc2016-9881.

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The objective of this paper is to analytically study the nonlinear behavior of variable cross-section beam flexures interconnecting an eccentric rigid body. Hamilton’s principle is utilized to obtain the partial differential equations governing the nonlinear vibration of the system as well as the corresponding boundary conditions. Using a single mode approximation, the governing equations are reduced to a set of two nonlinear ordinary differential equations in terms of end displacement components of the beam which are coupled due to the presence of the transverse eccentricity. The method of multiple scales are employed to obtain parametric closed-form solutions. The obtained analytical results are compared with the numerical ones and excellent agreement is observed. These analytical expressions provide design insights for modeling and optimization of more complex flexure mechanisms for improved dynamic performances.

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Fofana, M. S. "Effect of Regenerative Process on the Sample Stability of a Multiple Delay Differential Equation". In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-1751.

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Abstract In this paper, explicit analytical expressions for the stability behaviour of a single degree of freedom turning model have been derived. The regenerative chatter due to chip thickness and feed rate variations, a delay in the spring stiffness coefficient and the probabilistic property of the displacement process of the chatter induced by the earlier tool cuts in the undeformed chip thickness have been taken into account. A characteristic equation for the linearized stability at equilibrium machining is presented, and regions of stable and unstable machining for multiple fixed time delays are captured in the parameter plane of two model parameters. By a combined use of the classical Hopf bifurcation theorem and the centre manifold, equations governing stochastic chattering, which are infinite in character, are reduced to two-dimensional ordinary differential equations. The integral averaging method and the Lyapunov exponent have been employed to explicitly derive the required analytical expressions.

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Liu, Jian, David T. Martin, Karthik Kadirvel, Toshikazu Nishida, Louis N. Cattafesta, Mark Sheplak e Brian P. Mann. "Nonlinear System Identification of a MEMS Dual-Backplate Capacitance Microphone by Harmonic Balance Method". In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-82880.

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This paper presents the nonlinear identification of system parameters for a capacitive dual-backplate MEMS microphone. First, the microphone is modeled by a single-degree-of-freedom (SDOF) second order differential equation with electrostatic and cubic mechanical nonlinearities. A harmonic balance nonlinear identification approach is then applied to the governing equation to obtain a set of algebraic equations that relate the unknown system parameters to the steady-state response of the microphone under the harmonic excitation. The microphone is experimentally characterized and a nonlinear least-squares technique is implemented to identify the system parameters from experimental data. The experimentally extracted bandwidth of the microphone is over 218 kHz. Finally, numerical simulations of the governing equation are performed, using the identified system parameters, to validate the accuracy of the approximate solution. The differences between the properties of the integrated measured center velocity and simulated center displacement responses in the steady state are less than 1%.

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Kargarnovin, M. H., e N. S. Viliani. "Vibration Control of Smart Functionally Graded Plate Bonded With PZT4 Sensor/Actuator Patches". In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28400.

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Abstract (sommario):

The vibration of FG plate embedded with PZT4 rectangular patches on the top and/or the bottom surface(s) as actuators/sensors is investigated. Based on the classical laminated plate theory, the governing differential equations of motion are derived under a variable electric charge. The equation of motion for PZT4 patch is obtained and solved. The effect of feedback gain and FGM volume fraction exponent on the plate frequency and its deflection are studied. It is noticed that increasing the feedback gain leads to the reduction of frequency and displacement. Moreover, by increasing the value of the FGM volume fraction exponent the resonant frequency decreases.

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Kargarnovin, M. H., e N. S. Viliani. "Vibration Analysis of Rectangular Functionally Graded Plate Bonded With PZT5 Sensor/Actuator". In ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-24906.

Testo completo

Abstract (sommario):

The vibration of FG plate embedded with PZT5 rectangular patches on the top and/or the bottom surface(s) as actuators/sensors is investigated. Based on the classical laminated plate theory, the governing differential equations of motion are derived under a variable electric charge. The equation of motion for PZT5 patch is obtained and solved. The effect of feedback gain and FGM volume fraction exponent on the plate frequency and its deflection are studied. It is noticed that increasing the feedback gain leads to the reduction of frequency and displacement. Moreover, by increasing the value of the FGM volume fraction exponent the resonant frequency decreases.

Gli stili APA, Harvard, Vancouver, ISO e altri

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