Relevant bibliographies by topics / Systems engineering. System analysis. Lagrange equations

Contents

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

Academic literature on the topic 'Systems engineering. System analysis. Lagrange equations'

Author: Grafiati
Published: 4 June 2021
Last updated: 8 February 2022

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Journal articles on the topic "Systems engineering. System analysis. Lagrange equations"

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Marquis-Favre, Wilfrid, and Serge Scavarda. "Alternative Causality Assignment Procedures in Bond Graph for Mechanical Systems." Journal of Dynamic Systems, Measurement, and Control 124, no. 3 (2002): 457–63. http://dx.doi.org/10.1115/1.1481369.

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This paper proposes to extend the set of causality assignment procedures. The proposed alternative procedures are mainly inspired by formulations developed in the mechanical domain. They enable Lagrange equations, Hamilton equations, and Boltzmann-Hamel equations to be obtained, as well as formulations with the Lagrange multipliers. In the context of system modeling a varied set of mechanical oriented equations are available in a systematic way from the bond graph representation and the proposed corresponding procedures provide an algorithmic frame for programming these mathematical formulatio
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Park, K. C., Carlos A. Felippa, and Roger Ohayon. "The d'Alembert-Lagrange principal equations and applications to floating flexible systems." International Journal for Numerical Methods in Engineering 77, no. 8 (2009): 1072–99. http://dx.doi.org/10.1002/nme.2443.

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Samanta, B. "Dynamics of Flexible Multibody Systems Using Bond Graphs and Lagrange Multipliers." Journal of Mechanical Design 112, no. 1 (1990): 30–35. http://dx.doi.org/10.1115/1.2912575.

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A procedure is presented to study the dynamics of interconnected flexible systems using bond graphs. The concept of Lagrange multipliers, which are commonly used in analysis of constrained systems, is introduced in the procedure. The overall motions of each of the component bodies are described in terms of large rigid body motions and small elastic vibrations. Bond graphs are used to represent both rigid body and flexible dynamics of each body in a unified manner. Bond graphs of such sub-systems are coupled to one another satisfying the kinematic constraints at the interfaces to get the overal
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Papastavridis, J. G. "Time-Integral Variational Principles for Nonlinear Nonholonomic Systems." Journal of Applied Mechanics 64, no. 4 (1997): 985–91. http://dx.doi.org/10.1115/1.2789010.

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This is a comprehensive treatment of the time-integral variational “principles” of mechanics for systems subject to general nonlinear and possibly nonholonomic velocity constraints (i.e., equations of the form f(t, q, q˙) = 0, where t = time and q/q˙ = Lagrangean coordinates/velocities), in general nonlinear nonholonomic coordinates. The discussion is based on the Maurer-Appell-Chetaev-Hamel definition of virtual displacements and subsequent formulation of the corresponding nonlinear transitivity (or transpositional) equations. Also, a detailed analysis of the latter supplies a hitherto missin
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Kabanov, A. A., and S. A. Dubovik. "Numerical Methods for Monitoring Rare Events in Nonlinear Stochastic Systems." Mekhatronika, Avtomatizatsiya, Upravlenie 22, no. 6 (2021): 291–97. http://dx.doi.org/10.17587/mau.22.291-297.

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In this article, we consider the development of numerical methods of large deviations analysis for rare events in nonlinear stochastic systems. The large deviations of the controlled process from a certain stable state are the basis for predicting the occurrenceof a critical situation (a rare event). The rare event forecasting problem is reduced to the Lagrange-Pontryagin optimal control problem.The presented approach for solving the Lagrange-Pontryagin problem differs from the approach used earlier for linear systems in that it uses feedback control. In the nonlinear case, approximate methods
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Civelek, Cem. "Analysis of a coupled physical discrete time system by means of extended Euler-Lagrange difference equation and discrete dissipative canonical equation." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 38, no. 6 (2019): 1810–27. http://dx.doi.org/10.1108/compel-04-2019-0163.

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Purpose The purpose of this study is the application of the following concepts to the time discrete form. Variational Calculus, potential and kinetic energies, velocity proportional Rayleigh dissipation function, the Lagrange and Hamilton formalisms, extended Hamiltonians and Poisson brackets are all defined and applied for time-continuous physical processes. Such processes are not always time-continuously observable; they are also sometimes time-discrete. Design/methodology/approach The classical approach is developed with the benefit of giving only a short table on charge and flux formulatio
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Gau, Wei-Hsin, and A. A. Shabana. "Effects of Shear Deformation and Rotary Inertia on the Nonlinear Dynamics of Rotating Curved Beams." Journal of Vibration and Acoustics 112, no. 2 (1990): 183–93. http://dx.doi.org/10.1115/1.2930111.

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In this investigation a method for the dynamic analysis of initially curved Timoshenko beams that undergo finite rotations is presented. The combined effect of rotary inertia, shear deformation, and initial curvature is examined. The kinetic energy is first developed for the curved beam and the beam mass matrix is identified. It is shown that the form of the mass matrix as well as the nonlinear inertia terms that represent the coupling between the rigid body motion and the elastic deformation can be expressed in terms of a set of invariants that depend on the assumed displacement field, rotary
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Hwang, R. S., D. S. Bae, J. G. Kuhl, and E. J. Haug. "Parallel Processing for Real-Time Dynamic System Simulation." Journal of Mechanical Design 112, no. 4 (1990): 520–28. http://dx.doi.org/10.1115/1.2912641.

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A parallel processing algorithm based on the recursive dynamics formulation presented in a companion paper [1] is developed for multiprocessor implementation. Lagrange multipliers associated with cut-joint constraints for closed loop systems are eliminated, resulting in a minimal set of equations of motion. Concurrent generation of the system inertia matrix and the generalized force vector using the algorithm of Ref. 1 is shown to yield finer grain parallelism than earlier recursive algorithms. A new computational structure for dynamic analysis is proposed for high speed parallel processing. R
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Szybiński, Józef, and Piotr Ruta. "An Analysis of the Effect of a Change in the Support Point Location on the Vibration of Thin-Walled Beams." International Journal of Structural Stability and Dynamics 21, no. 09 (2021): 2150125. http://dx.doi.org/10.1142/s021945542150125x.

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This paper deals with an analysis of the free vibration of nonprismatic thin-walled beams, with a special focus on the effect of a change in the support point location on the eigenfrequencies of the systems. A change in the support point location is understood here as occurring within the same fixed cross-section of the beam where the latter is supported. The original elements of this study are a thin-walled beam model and a method of solving differential equations, not previously used by other authors. The equations describing the model used in this paper were derived using the momentless the
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Nia, H. Tavakoli, H. N. Pishkenari, and A. Meghdari. "A recursive approach for the analysis of snake robots using Kane's equations." Robotica 24, no. 2 (2006): 251–56. http://dx.doi.org/10.1017/s0263574705002456.

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This paper presents a recursive approach for solving kinematic and dynamic problems in snake-like robots using Kane's equations. An n-link model with n-nonholonomic constraints is used as the snake robot model in our analysis. The proposed algorithm which is used to derive kinematic and dynamic equations recursively, enhances the computational efficiency of our analysis. Using this method we can determine the number of additions and multiplications as a function of n. The proposed method is compared with the Lagrange and Newton-Euler's method in three different aspects: Number of operations, C
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Dissertations / Theses on the topic "Systems engineering. System analysis. Lagrange equations"

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Layton, Richard A. "Analytical system dynamics /." Thesis, Connect to this title online; UW restricted, 1995. http://hdl.handle.net/1773/7131.

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Maroli, John Michael. "Generating Comprehensible Equations from Unknown Discrete Dynamical Systems Using Neural Networks." The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1574760744876635.

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Park, Jaeyong. "Safe Controller Design for Intelligent Transportation System Applications using Reachability Analysis." The Ohio State University, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=osu1366201401.

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Books on the topic "Systems engineering. System analysis. Lagrange equations"

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A, Martyni͡u︡k A., and Shestakov A. A, eds. Stability of motion of nonautonomous systems: (method of limiting equations). Gordon and Breach, 1996.

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Kumar, Agrawal Sunil, ed. Differentially flat systems. Marcel Dekker, 2004.

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Fabien, Brian C. Analytical system dynamics: Modeling and simulation. Springer Science+Business Media, 2009.

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Alekseevich, Leonov Gennadiĭ, and Gelig Arkadiĭ Khaĭmovich, eds. Stability of stationary sets in control systems with discontinuous nonlinearities. World Scientific, 2004.

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Dante, Fratta, ed. Introduction to discrete signals and inverse problems in civil engineering. ASCE Press, 1998.

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Karris, Steven T. Signals and systems: With MATLAB applications. Orchard Publications, 2001.

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Signals and systems: With MATLAB® applications. 2nd ed. Orchard Publications, 2003.

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1953-, Kurths J., and Zhou Changsong, eds. Synchronization in oscillatory networks. Springer, 2007.

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ZnO bao mo zhi bei ji qi guang, dian xing neng yan jiu. Shanghai da xue chu ban she, 2010.

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Sira-Ramírez, Hebertt, and Sunil K. Agrawal. Differentially Flat Systems (Control Engineering). CRC, 2004.

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Book chapters on the topic "Systems engineering. System analysis. Lagrange equations"

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Yilie Limeneh, Derseh, and Kelem Tiessasie Yilma. "Chapter Review on Computer Simulation of Melt Spinning: A System of Systems Perspective." In Systems of Systems - Engineering, Modeling, Simulation and Analysis [Working Title]. IntechOpen, 2020. http://dx.doi.org/10.5772/intechopen.93610.

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This chapter discusses an approach for process simulation in the design of melt spinning process for finding optimal design parameters concerning spinneret, quench air unit and other technical parameters for maximum throughput and quality. The property of as-spun fiber is a function of structural parameters at a given condition and orientation of the structural parameter and it is highly governed by stress level at freeze line. Thus, to define structural property and associated relationship, it requires to identify the process to control the variables (or factors) that affect the structural parameter as well as final fiber property. In addition, this chapter also provides a System-of-Systems (SOS) perspective on melt spinning process and its computer modeling along with mathematical equations for estimating spinline stress with a change in process variables. The spinline stress will be used as an input for a computer simulation to have process optimization by changing the necessary variables until it optimized.
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Sourailidis, Dionysios, Christos Volos, Lazaros Moysis, and Ioannis Stouboulos. "Antimonotonicity, Crisis, and Route to Chaos in a Tumor Growth Model." In Advances in Systems Analysis, Software Engineering, and High Performance Computing. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-5788-4.ch023.

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In this chapter, a new model of a tumor growth is dynamically investigated. The model is presented in a form of a system of three ordinary differential equations, which describe the avascular, vascular, and metastasis tumor growth, respectively. For the investigation of system's dynamics and especially of the population of the immune cells in system's behavior, some of the most well-known tools from nonlinear theory, such as the phase portrait, the Poincaré map, the bifurcation diagram the Kaplan-Yorke dimension, and the Lyapunov exponents have been used. Interesting phenomena related with chaos theory, such as a period-doubling route to chaos, crisis phenomena, and antimonotonicity, have been revealed for the first time in this model.
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Kermani, Marwen, and Anis Sakly. "On Stability Analysis of Switched Linear Time-Delay Systems under Arbitrary Switching." In Handbook of Research on Advanced Intelligent Control Engineering and Automation. IGI Global, 2015. http://dx.doi.org/10.4018/978-1-4666-7248-2.ch018.

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This chapter focuses on the stability analysis problem for a class of continuous-time switched time-delay systems modelled by delay differential equations under arbitrary switching. Then, a transformation under the arrow form is employed. Indeed, by using a constructed Lyapunov function, the aggregation techniques, the Kotelyanski lemma associated with the M-matrix properties, new delay-dependent sufficient stability conditions are derived. The obtained results provide a solution to one of the basic problems in continuous-time switched time-delay systems. This problem ensures asymptotic stability of the switched time-delay system under arbitrary switching signals. In addition, these stability conditions are extended to be generalized for switched systems with multiple delays. Noted that, these obtained results are explicit, simple to use, and allow us to avoid the problem of searching a common Lyapunov function. Finally, two examples are provided, with numerical simulations, to demonstrate the effectiveness of the proposed method.
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He, Jingjing, Xuefei Guan, and Yongming Liu. "Fatigue Damage Prognostics and Life Prediction with Dynamic Response Reconstruction Using Indirect Sensor Measurements." In Diagnostics and Prognostics of Engineering Systems. IGI Global, 2013. http://dx.doi.org/10.4018/978-1-4666-2095-7.ch019.

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This study presents a general methodology for fatigue damage prognostics and life prediction integrating the structural health monitoring system. A new method for structure response reconstruction of critical locations using measurements from remote sensors is developed. The method is based on the empirical mode decomposition with intermittency criteria and transformation equations derived from finite element modeling. Dynamic responses measured from usage monitoring system or sensors at available locations are decomposed into modal responses directly in time domain. Transformation equations based on finite element modeling are used to extrapolate the modal responses from the measured locations to critical locations where direct sensor measurements are not available. The mode superposition method is employed to obtain dynamic responses at critical locations for fatigue crack propagation analysis. Fatigue analysis and life prediction can be performed given reconstructed responses at the critical location. The method is demonstrated using a multi degree-of-freedom cantilever beam problem.
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Alferov, G. V., G. G. Ivanov, P. A. Efimova, and A. S. Sharlay. "Stability of Linear Systems With Multitask Right-Hand Member." In Stochastic Methods for Estimation and Problem Solving in Engineering. IGI Global, 2018. http://dx.doi.org/10.4018/978-1-5225-5045-7.ch004.

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To study the dynamics of mechanical systems and to define the construction parameters and control laws, it is necessary to have computational models accurately describing properties of real mechanisms. From a mathematical point of view, the computational models of mechanical systems are actually the systems of differential equations. These models can contain equations that also describe non-mechanical phenomena. In this chapter, the problems of stability and asymptotic stability conditions for the motion of mechanical systems with holonomic and non-holonomic constraints are under consideration. Stability analysis for the systems of differential equations is given in term of the second Lyapunov's method. With the use of the set-theoretic approach, the necessary and sufficient conditions for stability and asymptotic stability of zero solution of the considered system are formulated. The proposed approaches can be used to study the stability of the motion for robot manipulators, transport, space, and socio-economic systems.
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Moysis, Lazaros, Ioannis Kafetzis, and Marios Politis. "Analysis and Control of a Dynamical Model for HIV Infection With One or Two Inputs." In Advances in System Dynamics and Control. IGI Global, 2018. http://dx.doi.org/10.4018/978-1-5225-4077-9.ch012.

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A dynamical model that describes the interaction between the HIV virus and the human immune system is presented. This model is used to investigate the effect of antiretroviral therapy, consisting of RTI and PI drugs, along with the result of undesired treatment interruption. Furthermore, the effect of both drugs can be combined into a single parameter that further simplifies the model into a single input system. The value of the drug inputs can be adjusted so that the system has the desired equilibrium. Drug administration can also be adjusted by a feedback control law, which although it linearizes the system, may have issues in its implementation. Furthermore, the system is linearized around the equilibrium, leading to a system of linear differential equations of first order that can be integrated into courses of control systems engineering, linear and nonlinear systems in higher education.
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Chimowitz, Eldred H. "Supercritical Adsorption." In Introduction to Critical Phenomena in Fluids. Oxford University Press, 2005. http://dx.doi.org/10.1093/oso/9780195119305.003.0008.

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In this chapter, we discuss adsorption phenomena in supercritical systems, a situation that occurs in many application areas in chemical-process and materials engineering. An example of a commercial application in this area, which has achieved wide acceptance as a tool in analytical chemistry, is supercritical fluid chromatography (SFC). Not only is SFC a powerful technique for chemical analysis, but it also is a useful method for measuring transportive and thermodynamic properties in the near-critical systems. In the next section, we analyze adsorption-column dynamics using simple dynamic models, and describe how data from a chromatographic column can be used to estimate various thermodynamic and transport properties.We then proceed to discuss the effects of proximity to the critical point on adsorption behavior in these systems. The closer the system is to its critical point, the more interesting is its behavior. For very dilute solute systems, like those considered here, the energy balance is often ignored to a first approximation; this leads to a simple set of mass-balance equations defining transport for each species. These equations can be developed to various levels of complexity, depending upon the treatment of the adsorbent (stationary phase). The conceptual view of these phases can span a wide range of possibilities ranging from completely nonporous solids (fused structures) to porous materials with complicated ill-defined pore structures. Given these considerations, it is customary to make the following assumptions in the development of a simple model of adsorber-bed dynamics: . . .1. The stationary and mobile phases are continuous in the direction of the flow, with the fluid phase possessing a flat velocity profile (“plug” flow).. . . . . . 2. The porosity of the stationary phase is considered constant irrespective of pressure and temperature conditions (i.e., it is incompressible). . . . . . .3. The column is considered to be radially homogeneous, leading to a set of equations with one spatially independent variable, representing distance along the column axis. . . . . . . 4. The dispersion term in the model equation represents the combined effects of molecular diffusion and dispersion due to convective stirring in the bed. These effects are combined into an effective phenomenological dispersion coefficient, considered to be constant throughout the column. . . .
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Floudas, Christodoulos A. "Introduction." In Nonlinear and Mixed-Integer Optimization. Oxford University Press, 1995. http://dx.doi.org/10.1093/oso/9780195100563.003.0004.

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This chapter introduces the reader to elementary concepts of modeling, generic formulations for nonlinear and mixed integer optimization models, and provides some illustrative applications. Section 1.1 presents the definition and key elements of mathematical models and discusses the characteristics of optimization models. Section 1.2 outlines the mathematical structure of nonlinear and mixed integer optimization problems which represent the primary focus in this book. Section 1.3 illustrates applications of nonlinear and mixed integer optimization that arise in chemical process design of separation systems, batch process operations, and facility location/allocation problems of operations research. Finally, section 1.4 provides an outline of the three main parts of this book. A plethora of applications in all areas of science and engineering employ mathematical models. A mathematical model of a system is a set of mathematical relationships (e.g., equalities, inequalities, logical conditions) which represent an abstraction of the real world system under consideration. Mathematical models can be developed using (i) fundamental approaches, (ii) empirical methods, and (iii) methods based on analogy. In (i), accepted theories of sciences are used to derive the equations (e.g., Newton’s Law). In (ii), input-output data are employed in tandem with statistical analysis principles so as to generate empirical or “black box” models. In (iii), analogy is employed in determining the essential features of the system of interest by studying a similar, well understood system. The variables can take different values and their specifications define different states of the system. They can be continuous, integer, or a mixed set of continuous and integer. The parameters are fixed to one or multiple specific values, and each fixation defines a different model. The constants are fixed quantities by the model statement. The mathematical model relations can be classified as equalities, inequalities, and logical conditions. The model equalities are usually composed of mass balances, energy balances, equilibrium relations, physical property calculations, and engineering design relations which describe the physical phenomena of the system. The model inequalities often consist of allowable operating regimes, specifications on qualities, feasibility of heat and mass transfer, performance requirements, and bounds on availabilities and demands. The logical conditions provide the connection between the continuous and integer variables.
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Conference papers on the topic "Systems engineering. System analysis. Lagrange equations"

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Kamiya, Keisuke. "Time-Differentiable Null Space Method for Constrained Mechanical Systems (Application to a Rheonomic System)." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12963.

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The governing equations of multibody systems are, in general, formulated in the form of differential algebraic equations (DAEs) involving the Lagrange multipliers. For efficient and accurate analysis, it is desirable to eliminate the Lagrange multipliers and dependent variables. Methods called null space method and Maggi’s method eliminate the Lagrange multipliers by using the null space matrix for the coefficient matrix which appears in the constraint equation in velocity level. In a previous report, the author presented a method to obtain a time differentiable null space matrix for scleronom
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Kamiya, Keisuke. "Improved Differential Nullspace Matrix Method for the Dynamic Analysis of Multibody Systems." 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/detc2018-85719.

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This paper presents a novel method for motion analysis of rigid multibody systems. In general, dynamics of multibody systems is described by differential algebraic equations with Lagrange multipliers. For efficient and accurate analysis, it is desirable to eliminate the Lagrange multipliers and dependent variables. Methods called nullspace method and Maggi’s method eliminate the Lagrange multipliers by using the nullspace matrix for the constraint Jacobian. In a previous report, the author presented a method in which the nullspace matrix is obtained by solving a differential equation together
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Kamiya, Keisuke, and Yusaku Yamashita. "Null Space Method of Differential Equation Type for Motion Analysis of Multibody Systems." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67781.

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The governing equations of multibody systems are, in general, formulated in the form of differential algebraic equations (DAEs) involving the Lagrange multipliers. For efficient and accurate analysis, it is desirable to eliminate the Lagrange multipliers and dependent variables. Methods called null space method and Maggi’s method eliminate the Lagrange multipliers by using the null space matrix for the constraint Jacobian. In previous reports, one of the authors presented methods which use the null space matrix. In the procedure to obtain the null space matrix, the inverse of a matrix whose re
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Pradeep Kumar, A. S., and Shrinivasa Udipi. "Extending Lagrange Interpolation to Develop a 4-Node Quadrilateral Element." In ASME 8th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2006. http://dx.doi.org/10.1115/esda2006-95260.

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Today finite element method is a well established tool in engineering analysis and design. Though there are many two and three dimensional finite elements available, it is rare that a single element performs satisfactorily in majority of practical problems. The present work deals with the development of 4-node quadrilateral element using extended Lagrange interpolation functions. The classical univariate Lagrange interpolation is well developed for 1-D and is used for obtaining shape functions. We propose a new approach to extend the Lagrange interpolation to several variables. When variables
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Kamiya, Keisuke, Makoto Sawada, and Yuji Furusawa. "Continuous Null Space Method for Constrained Mechanical Systems." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48150.

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The governing equations for multibody systems are, in general, formulated in the form of differential algebraic equations (DAEs) involving the Lagrange multipliers. It is desirable for efficient and accurate analysis to eliminate the Lagrange multipliers and dependent variables. As a method to solve the DAEs by eliminating the Lagrange multipliers, there is a method called the null space method. In this report, first, it is shown that using the null space matrix one can eliminate the Lagrange multipliers and reduce the number of velocities to that of the independent ones. Then, a new method to
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Kamiya, Keisuke. "Analysis of Constraint Forces in Multibody Systems Based on the Differential Null Space 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/detc2019-97730.

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Abstract This paper treats a problem to determine constraint forces in rigid mutibody systems. One of the most often applied algorithms for determination of constraint forces is based on the use of recursive Newton-Euler formalism. Another algorithm often applied for determination of constraint forces is based on the use of Lagrange multipliers. This paper presents a new method to determine constraint forces in rigid multibody systems. First relative displacements which violate the constraints, called anti-constraint relative displacements, are introduced, and governing equations which involve
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Saljooghi, R., and M. T. Ahmadian. "Free Vibration Analysis of FGM Beams With Different Boundary Conditions Using RKPM Meshless Method." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47640.

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This paper presents free vibration analysis of functionally graded material (FGM) beams with different boundary conditions, using RKPM (Reproducing Kernel Particle Method), which is a meshless method. System of equations of motion is derived by using Lagrange’s method under the assumption of Euler-Bernoulli beam theory. Boundary conditions of beam are taken into account by using Lagrange multipliers. It is assumed that material properties of the beam vary continuously in the thickness direction according to the power-law form. RKPM is applied to obtain eigenvalue equation of vibration and natu
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Rajabi, Shadi, and Farzam Farahmand. "Optimal Adjustment Procedure of the External Fixators to Minimize the Soft Tissue Injury." In ASME 8th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2006. http://dx.doi.org/10.1115/esda2006-95424.

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A typical fixator of tibia consists of an axial rotary joint, 4 revolute joints and 2 prismatic joints in the ends providing a total of 7 degrees of freedom for its maneuverability to reduce the bone fracture in the 3-D space. The purpose of the present study was to calculate the final configuration of the fixator joints to treat a general fracture and to optimize the path to this configuration. To obtain the final configuration, the known space orientation 4×4 matrix of the assumed healed bone was set equal to the orientation matrix of the fixator and the values for the seven joints were calc
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Dadashzadeh, Behnam, and Mohammad Mahjoob Jahromi. "Dynamics Synchronization of the Running of Planar Biped Robots With SLIP Model in Stance Phase." In ASME 2014 12th Biennial Conference on Engineering Systems Design and Analysis. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/esda2014-20482.

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In this work a control law is derived to synchronize dynamics of multibody biped robots and the spring loaded inverted pendulum (SLIP) model in stance phase of running. The goal is to use the vast literature on the SLIP model dynamics for the control of real multibody robots. Three kneed biped robot models are considered in this work: with springs parallel to motors, with springs series to motors, and without springs. Dynamic equations of the multibody biped models are derived using Lagrange equation and then the applicability of the derived control law to these models are investigated using s
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Peruzzi, N. J., J. M. Balthazar, and B. R. Pontes. "On a Control of a Non-Ideal Mono-Rail System With Periodic Coefficients." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84726.

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In this work, the problem in the loads transport (in platforms or suspended by cables) it is considered. The system in subject is composed for mono-rail system and was modeled through the system: inverted pendulum, car and motor and the movement equations were obtained through the Lagrange equations. In the model, was considered the interaction among of the motor and system dynamics for several potencies motor, that is, the case studied is denominated a non-ideal periodic problem. The non-ideal periodic problem dynamics was analyzed, qualitatively, through the comparison of the stability diagr
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