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Journal Articles

A Hamiltonian Formulation on Manifolds for Dynamic Modeling of Constrained Mechanisms and Energy-Preserving Integration

Hongchen Li, Ye Ding
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 2022, 89(12): 121007.
Paper No: JAM-22-1241
https://doi.org/10.1115/1.4055662
Published Online: October 6, 2022
View Article titled, A Hamiltonian Formulation on Manifolds for Dynamic Modeling of Constrained Mechanisms and Energy-Preserving Integration
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Topics: Dynamic modeling, Dynamics (Mechanics), Manifolds, Parametrization, Simulation, Algorithms, Errors, Equations of motion, Jacobian matrices
Journal Articles

Elastic Wave Propagation in Strongly Nonlinear Lattices and Its Active Control

Mitao Song, Weidong Zhu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. July 2021, 88(7): 071003.
Paper No: JAM-21-1008
https://doi.org/10.1115/1.4050394
Published Online: April 7, 2021
View Article titled, Elastic Wave Propagation in Strongly Nonlinear Lattices and Its Active Control
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Topics: Delays, Elastic waves, Springs, Wave propagation, Waves, Acoustics, Steady state, Jacobian matrices, Stiffness, Stress
Journal Articles

An Incremental Harmonic Balance Method With a General Formula of Jacobian Matrix and a Direct Construction Method in Stability Analysis of Periodic Responses of General Nonlinear Delay Differential Equations

Xuefeng Wang, Weidong Zhu, Xi Zhao
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. June 2019, 86(6): 061011.
Paper No: JAM-18-1558
https://doi.org/10.1115/1.4042836
Published Online: April 1, 2019
View Article titled, An Incremental Harmonic Balance Method With a General Formula of Jacobian Matrix and a Direct Construction Method in Stability Analysis of Periodic Responses of General Nonlinear Delay Differential Equations
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Topics: Construction, Delay differential equations, Delays, Jacobian matrices, Stability, Bifurcation, Matlab
Journal Articles

A New Spatial and Temporal Harmonic Balance Method for Obtaining Periodic Steady-State Responses of a One-Dimensional Second-Order Continuous System

X. F. Wang, W. D. Zhu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. January 2017, 84(1): 014501.
Paper No: JAM-15-1567
https://doi.org/10.1115/1.4034011
Published Online: October 18, 2016
View Article titled, A New Spatial and Temporal Harmonic Balance Method for Obtaining Periodic Steady-State Responses of a One-Dimensional Second-Order Continuous System
Open the PDF for A New Spatial and Temporal Harmonic Balance Method for Obtaining Periodic Steady-State Responses of a One-Dimensional Second-Order Continuous System in another window
Topics: Boundary-value problems, Stability, Steady state, String, Jacobian matrices, Springs
Journal Articles

Multitask Constrained Motion Control Using a Mass-Weighted Orthogonal Decomposition

Vincent De Sapio, Jaeheung Park
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. July 2010, 77(4): 041004.
https://doi.org/10.1115/1.4000907
Published Online: April 9, 2010
View Article titled, Multitask Constrained Motion Control Using a Mass-Weighted Orthogonal Decomposition
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Topics: Algorithms, Dynamics (Mechanics), Jacobian matrices, Motion control, Torque, Multibody systems
Journal Articles

Response Power Spectrum of Multi-Degree-of-Freedom Nonlinear Systems by a Galerkin Technique

G. Failla, Doctor of Philosophy,, P. D. Spanos, Fellow, ASME, M. Di Paola, Professor,
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. September 2003, 70(5): 708–714.
https://doi.org/10.1115/1.1599916
Published Online: October 10, 2003
View Article titled, Response Power Spectrum of Multi-Degree-of-Freedom Nonlinear Systems by a Galerkin Technique
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Topics: Computer simulation, Damping, Fourier series, Newton's method, Nonlinear systems, Polynomials, Spectral energy distribution, Jacobian matrices, Flow (Dynamics), Reliability
Journal Articles

Toeplitz Jacobian Matrix for Nonlinear Periodic Vibration

A. Y. T. Leung, T. Ge
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. September 1995, 62(3): 709–717.
https://doi.org/10.1115/1.2897004
Published Online: September 1, 1995
View Article titled, Toeplitz Jacobian Matrix for Nonlinear Periodic Vibration
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Topics: Jacobian matrices, Vibration, Algorithms, Damping, Fast Fourier transforms, Nonlinear systems, Stiffness, Computation, Linear systems, Storage
Journal Articles

Dynamic Analysis of Flexible Gear Trains/Transmissions: An Automated Approach

F. M. L. Amirouche, N. H. Shareef, M. Xie
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1992, 59(4): 976–982.
https://doi.org/10.1115/1.2894069
Published Online: December 1, 1992
View Article titled, Dynamic Analysis of Flexible Gear Trains/Transmissions: An Automated Approach
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Topics: Dynamic analysis, Gear trains, Computers, Degrees of freedom, Elasticity, Equations of motion, Gear teeth, Jacobian matrices, Trains
Journal Articles

Nonlinear Modeling of Flexible Multibody Systems Dynamics Subjected to Variable Constraints

S. K. Ider, F. M. L. Amirouche
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1989, 56(2): 444–450.
https://doi.org/10.1115/1.3176103
Published Online: June 1, 1989
View Article titled, Nonlinear Modeling of Flexible Multibody Systems Dynamics Subjected to Variable Constraints
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Topics: Dimensions, Dynamics (Mechanics), Equations of motion, Finite element methods, Jacobian matrices, Modal analysis, Modeling, Multibody dynamics, Multibody systems
Journal Articles

Coordinate Reduction in the Dynamics of Constrained Multibody Systems—A New Approach

S. K. Ider, F. M. L. Amirouche
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1988, 55(4): 899–904.
https://doi.org/10.1115/1.3173739
Published Online: December 1, 1988
View Article titled, Coordinate Reduction in the Dynamics of Constrained Multibody Systems—A New Approach
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Topics: Algebra, Algorithms, Computers, Dynamic systems, Dynamics (Mechanics), Jacobian matrices, Multibody systems, Theorems (Mathematics)
Journal Articles

On the Stability of Equilibrium Paths Associated With Autonomous Systems

K. Huseyin
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 1981, 48(1): 183–187.
https://doi.org/10.1115/1.3157564
Published Online: March 1, 1981
View Article titled, On the Stability of Equilibrium Paths Associated With Autonomous Systems
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Topics: Equilibrium (Physics), Stability, Bifurcation, Eigenvalues, Jacobian matrices
Journal Articles

Flow in Straight Ducts of Arbitrary Cross Section

P. W. Duck
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1979, 46(2): 263–268.
https://doi.org/10.1115/1.3424539
Published Online: June 1, 1979
View Article titled, Flow in Straight Ducts of Arbitrary Cross Section
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Topics: Ducts, Flow (Dynamics), Differential equations, Fourier series, Jacobian matrices