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Journal Articles

Decomposition and Uncoupling of Multi-Degree-of-Freedom Gyroscopic Conservative Systems

Ranislav M. Bulatovic, Firdaus E. Udwadia
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 2024, 91(3): 031003.
Paper No: JAM-23-1297
https://doi.org/10.1115/1.4063504
Published Online: October 31, 2023
View Article titled, Decomposition and Uncoupling of Multi-Degree-of-Freedom Gyroscopic Conservative Systems
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Topics: Dynamic systems, Eigenvalues, Stiffness, Vibration, System dynamics
Journal Articles

Data-Driven Stochastic Averaging

Junyin Li, Zhanchao Huang, Yong Wang, Zhilong Huang, Weiqiu Zhu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. January 2024, 91(1): 011005.
Paper No: JAM-23-1157
https://doi.org/10.1115/1.4063065
Published Online: August 25, 2023
View Article titled, Data-Driven Stochastic Averaging
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Topics: Diffusion (Physics), Excitation, White noise, Dynamic systems, Probability
Includes: Supplementary data
Journal Articles

The General Gauss Principle of Least Constraint

Firdaus E. Udwadia
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. November 2023, 90(11): 111006.
Paper No: JAM-23-1240
https://doi.org/10.1115/1.4062887
Published Online: August 2, 2023
View Article titled, The General Gauss Principle of Least Constraint
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Topics: D'Alembert's principle, Displacement, Dynamics (Mechanics), Constraint equations, Equations of motion, Classical mechanics, Dynamic systems, Modeling
Journal Articles

Automatedly Distilling Canonical Equations From Random State Data

Xiaoling Jin, Zhanchao Huang, Yong Wang, Zhilong Huang, Isaac Elishakoff
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. August 2023, 90(8): 081007.
Paper No: JAM-23-1049
https://doi.org/10.1115/1.4062329
Published Online: May 9, 2023
View Article titled, Automatedly Distilling Canonical Equations From Random State Data
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Topics: Momentum, Optimization, Excitation, Dynamic systems
Journal Articles

A Variational Principle for the Mesh-Type Analysis of a Mechanical System

R. A. Toupin
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1952, 19(2): 151–152.
https://doi.org/10.1115/1.4010439
Published Online: April 7, 2021
View Article titled, A Variational Principle for the Mesh-Type Analysis of a Mechanical System
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Topics: Variational principles, Dynamic systems, Equations of motion
Journal Articles

The Characteristics of Fuel Motion Which Affect Airplane Dynamics

E. W. Graham, A. M. Rodriguez
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1952, 19(3): 381–388.
https://doi.org/10.1115/1.4010515
Published Online: April 7, 2021
View Article titled, The Characteristics of Fuel Motion Which Affect Airplane Dynamics
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Topics: Aircraft, Dynamics (Mechanics), Fuels, Dynamic systems, Electromechanical analogies, Missiles, Stability, Yaw
Journal Articles

A Method for Determining Mode Shapes and Frequencies Above the Fundamental by Matrix Iteration

H. I. Flomenhoft
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1950, 17(3): 249–256.
https://doi.org/10.1115/1.4010124
Published Online: April 5, 2021
View Article titled, A Method for Determining Mode Shapes and Frequencies Above the Fundamental by Matrix Iteration
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Topics: Mode shapes, Aircraft, Computation, Design, Dynamic systems, Elasticity, Pipes
Journal Articles

Tensorial Analysis of Control Systems

Gabriel Kron
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1948, 15(2): 107–124.
https://doi.org/10.1115/1.4009794
Published Online: March 12, 2021
View Article titled, Tensorial Analysis of Control Systems
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Topics: Algebra, Control systems, Differential equations, Dynamic systems, Oscillations, Pressure, Servomechanisms, Steady state, Tensors
Journal Articles

Discussion: “Self-Excited Oscillations in Dynamical Systems Possessing Retarded Actions” (Minorsky, Nicholas, 1942, ASME J. Appl. Mech., 9, pp. A65–A71)

H. Poritsky
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Discussions
J. Appl. Mech. December 1942, 9(4): A195.
https://doi.org/10.1115/1.4009239
Published Online: March 3, 2021
View Article titled, Discussion: “Self-Excited Oscillations in Dynamical Systems Possessing Retarded Actions” (Minorsky, Nicholas, 1942, ASME J. Appl. Mech., 9, pp. A65–A71)
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Topics: Dynamic systems, Oscillations
Journal Articles

Closure to “Discussion of ‘Self-Excited Oscillations in Dynamical Systems Possessing Retarded Actions’” (1942, ASME J. Appl. Mech., 9, p. A195)

Nicholas Minorsky
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Closures
J. Appl. Mech. December 1942, 9(4): A195–A196.
https://doi.org/10.1115/1.4009240
Published Online: March 3, 2021
View Article titled, Closure to “Discussion of ‘Self-Excited Oscillations in Dynamical Systems Possessing Retarded Actions’” (1942, ASME J. Appl. Mech., 9, p. A195)
Open the PDF for Closure to “Discussion of ‘Self-Excited Oscillations in Dynamical Systems Possessing Retarded Actions’” (1942, ASME J. Appl. Mech., 9, p. A195) in another window
Topics: Dynamic systems, Oscillations
Journal Articles

Self-Excited Oscillations in Dynamical Systems Possessing Retarded Actions

Nicholas Minorsky
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1942, 9(2): A65–A71.
https://doi.org/10.1115/1.4009185
Published Online: March 3, 2021
View Article titled, Self-Excited Oscillations in Dynamical Systems Possessing Retarded Actions
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Topics: Dynamic systems, Oscillations, Differential equations, Excitation
Journal Articles

Data-Driven Method for Response Control of Nonlinear Random Dynamical Systems

Yanping Tian, Xiaoling Jin, Lingling Wu, Ying Yang, Yong Wang, Zhilong Huang
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. April 2021, 88(4): 041012.
Paper No: JAM-20-1462
https://doi.org/10.1115/1.4049632
Published Online: January 29, 2021
View Article titled, Data-Driven Method for Response Control of Nonlinear Random Dynamical Systems
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Topics: Density, Feedback, Probability, Dynamic systems, Degrees of freedom, Optimization algorithms, Differential equations, Nonlinear systems
Journal Articles

Stability of Gyroscopic Circulatory Systems

Firdaus E. Udwadia
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. February 2019, 86(2): 021002.
Paper No: JAM-18-1495
https://doi.org/10.1115/1.4041825
Published Online: November 16, 2018
View Article titled, Stability of Gyroscopic Circulatory Systems
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Topics: Cardiovascular system, Eigenvalues, Stability, Theorems (Mathematics), Vibration, Dynamic systems
Journal Articles

Inverse Problem of Lagrangian Mechanics for Classically Damped Linear Multi-Degrees-of-Freedom Systems

Firdaus E. Udwadia
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. October 2016, 83(10): 104501.
Paper No: JAM-16-1065
https://doi.org/10.1115/1.4034012
Published Online: July 25, 2016
View Article titled, Inverse Problem of Lagrangian Mechanics for Classically Damped Linear Multi-Degrees-of-Freedom Systems
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Topics: Dynamic systems, Inverse problems, Vibration, Potential energy, Dynamics (Mechanics)
Journal Articles

Parallel Cell Mapping Method for Global Analysis of High-Dimensional Nonlinear Dynamical Systems

Fu-Rui Xiong, Zhi-Chang Qin, Qian Ding, Carlos Hernández, Jesús Fernandez, Oliver Schütze, Jian-Qiao Sun
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. November 2015, 82(11): 111010.
Paper No: JAM-15-1119
https://doi.org/10.1115/1.4031149
Published Online: August 10, 2015
View Article titled, Parallel Cell Mapping Method for Global Analysis of High-Dimensional Nonlinear Dynamical Systems
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Topics: Algorithms, Attractors, Dynamics (Mechanics), Graphics processing units, Interpolation, Nonlinear dynamical systems, Plasmas (Ionized gases), Transients (Dynamics), Steady state, Dynamic systems
Journal Articles

An Augmented State Formulation for Modeling and Analysis of Multibody Distributed Dynamic Systems

K. Noh, B. Yang
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. May 2014, 81(5): 051011.
Paper No: JAM-13-1187
https://doi.org/10.1115/1.4026124
Published Online: January 7, 2014
View Article titled, An Augmented State Formulation for Modeling and Analysis of Multibody Distributed Dynamic Systems
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Topics: Boundary-value problems, Dynamic systems, Eigenfunctions, Eigenvalues, Laplace transforms, Modeling, Multibody systems, Transfer functions, Transients (Dynamics), Frequency response
Journal Articles

A New Approach to Stable Optimal Control of Complex Nonlinear Dynamical Systems

Firdaus E. Udwadia
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. March 2014, 81(3): 031001.
Paper No: JAM-11-1404
https://doi.org/10.1115/1.4024874
Published Online: September 18, 2013
View Article titled, A New Approach to Stable Optimal Control of Complex Nonlinear Dynamical Systems
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Topics: Control equipment, Dynamic systems, Dynamics (Mechanics), Nonlinear dynamical systems, Optimal control, Stability, Nonlinear systems, Approximation, Design, Errors
Journal Articles

Simulation of Constrained Mechanical Systems — Part I: An Equation of Motion

David J. Braun, Michael Goldfarb
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. July 2012, 79(4): 041017.
https://doi.org/10.1115/1.4005572
Published Online: May 16, 2012
View Article titled, Simulation of Constrained Mechanical Systems — Part I: An Equation of Motion
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Topics: Dynamic systems, Energy conservation, Equations of motion, Errors, Impulse (Physics), Kinematics, Simulation, Multibody dynamics, Linkages, Computer simulation
Journal Articles

New Approach to the Modeling of Complex Multibody Dynamical Systems

Aaron Schutte, Firdaus Udwadia
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 2011, 78(2): 021018.
https://doi.org/10.1115/1.4002329
Published Online: December 20, 2010
View Article titled, New Approach to the Modeling of Complex Multibody Dynamical Systems
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Topics: Equations of motion, Modeling, Multibody systems, Space vehicles, Dynamic systems
Journal Articles

Marginal Instability and Intermittency in Stochastic Systems—Part II: Systems With Rapid Random Variations in Parameters

M. F. Dimentberg, A. Hera, A. Naess
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. May 2009, 76(3): 031002.
https://doi.org/10.1115/1.3086593
Published Online: March 5, 2009
View Article titled, Marginal Instability and Intermittency in Stochastic Systems—Part II: Systems With Rapid Random Variations in Parameters
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Topics: Approximation, Computer simulation, Damping, Dynamic systems, Markov processes, Partial differential equations, Probability, Stability, Stochastic systems, Transients (Dynamics)