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Journal Articles

Redundant Manipulator Kinematics and Dynamics on Differentiable Manifolds

Edward J. Haug, Adrian Peidro

J. Comput. Nonlinear Dynam. November 2022, 17(11): 111008.

Paper No: CND-22-1112

DOI: https://doi.org/10.1115/1.4055313

Published Online: September 19, 2022

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Topics: Manifolds, Manipulators, Kinematics

Journal Articles

Order Reduction of Nonlinear Quasi-Periodic Systems Using Lyapunov–Perron Transformation

Susheelkumar C. Subramanian, Sangram Redkar

J. Comput. Nonlinear Dynam. September 2022, 17(9): 091002.

Paper No: CND-22-1028

DOI: https://doi.org/10.1115/1.4054349

Published Online: May 10, 2022

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Topics: Manifolds, Errors, Computation

Journal Articles

Boosting the Model Discovery of Hybrid Dynamical Systems in an Informed Sparse Regression Approach

Nico Novelli, Stefano Lenci, Pierpaolo Belardinelli

J. Comput. Nonlinear Dynam. May 2022, 17(5): 051007.

Paper No: CND-21-1302

DOI: https://doi.org/10.1115/1.4053324

Published Online: March 14, 2022

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Topics: Algorithms, Dynamic systems, Dynamics (Mechanics), Electromagnetic radiation, Springs, Phase space, Manifolds, Switches

Journal Articles

Manipulator Kinematics and Dynamics on Differentiable Manifolds: Part I Kinematics

Edward J. Haug

J. Comput. Nonlinear Dynam. February 2022, 17(2): 021002.

Paper No: CND-21-1122

DOI: https://doi.org/10.1115/1.4052652

Published Online: November 22, 2021

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Topics: Kinematics, Manifolds, Manipulators

Journal Articles

Change of the Most Probable Escape Path in a Fast-Slow Insect Outbreak System Under Different Noise Amplitude Ratios

Qing Yu, Xianbin Liu

J. Comput. Nonlinear Dynam. January 2022, 17(1): 011004.

Paper No: CND-21-1084

DOI: https://doi.org/10.1115/1.4052724

Published Online: November 9, 2021

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Topics: Approximation, Manifolds, Noise (Sound), Relaxation (Physics)

Journal Articles

Multiple Bifurcations and Complex Responses of Nonlinear Time-Delay Oscillators

Xiaochen Mao, Fuchen Lei, Xingyong Li, Weijie Ding, Tiantian Shi

J. Comput. Nonlinear Dynam. November 2021, 16(11): 111001.

Paper No: CND-21-1032

DOI: https://doi.org/10.1115/1.4051819

Published Online: August 31, 2021

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Topics: Bifurcation, Circuits, Delays, Manifolds, Stability, Oscillations

Journal Articles

Augmented Perpetual Manifolds and Perpetual Mechanical Systems—Part I: Definitions, Theorem, and Corollary for Triggering Perpetual Manifolds, Application in Reduced-Order Modeling and Particle-Wave Motion of Flexible Mechanical Systems

Fotios Georgiades

J. Comput. Nonlinear Dynam. July 2021, 16(7): 071005.

Paper No: CND-21-1033

DOI: https://doi.org/10.1115/1.4050554

Published Online: June 4, 2021

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Topics: Manifolds, Theorems (Mathematics), Waves, Particulate matter

Journal Articles

Multibody Dynamics on Differentiable Manifolds

Edward J. Haug

J. Comput. Nonlinear Dynam. April 2021, 16(4): 041003.

Paper No: CND-20-1428

DOI: https://doi.org/10.1115/1.4049995

Published Online: February 24, 2021

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Topics: Kinematics, Manifolds, Multibody dynamics, Parametrization, Topology, Multibody systems

Journal Articles

Multidimensional Manifold Continuation for Adaptive Boundary-Value Problems

Harry Dankowicz, Yuqing Wang, Frank Schilder, Michael E. Henderson

J. Comput. Nonlinear Dynam. May 2020, 15(5): 051002.

Paper No: CND-19-1390

DOI: https://doi.org/10.1115/1.4046498

Published Online: March 18, 2020

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Topics: Boundary-value problems, Manifolds, Dynamic systems, Space, Geometry

Journal Articles

Geometric Spectral Algorithms for the Simulation of Rigid Bodies

Yiqun Li, Razikhova Meiramgul, Jiankui Chen, Zhouping Yin

J. Comput. Nonlinear Dynam. December 2019, 14(12): 121005.

Paper No: CND-19-1152

DOI: https://doi.org/10.1115/1.4044925

Published Online: October 7, 2019

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Topics: Algorithms, Dynamics (Mechanics), Manifolds, Pendulums, Simulation, Satellites, Control systems, Lie algebras

Journal Articles

Hyper-Reduction Over Nonlinear Manifolds for Large Nonlinear Mechanical Systems

Shobhit Jain, Paolo Tiso

J. Comput. Nonlinear Dynam. August 2019, 14(8): 081008.

Paper No: CND-18-1538

DOI: https://doi.org/10.1115/1.4043450

Published Online: May 15, 2019

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Topics: Manifolds

Journal Articles

Neural Adaptive Fault Tolerant Control of Nonlinear Fractional Order Systems Via Terminal Sliding Mode Approach

Bijan Hashtarkhani, Mohammad Javad Khosrowjerdi

J. Comput. Nonlinear Dynam. March 2019, 14(3): 031009.

Paper No: CND-18-1420

DOI: https://doi.org/10.1115/1.4042141

Published Online: January 30, 2019

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Topics: Actuators, Artificial neural networks, Control equipment, Design, Errors, Signals, Stability, Tracking control, Computer simulation, Theorems (Mathematics)

Journal Articles

A Boundary Layer Approach to Multibody Systems Involving Single Frictional Impacts

S. Natsiavas, E. Paraskevopoulos

J. Comput. Nonlinear Dynam. January 2019, 14(1): 011002.

Paper No: CND-18-1316

DOI: https://doi.org/10.1115/1.4041775

Published Online: November 19, 2018

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Topics: Boundary layers, Collisions (Physics), Friction, Manifolds, Pendulums, Dynamics (Mechanics), Particulate matter, Multibody systems, Equations of motion, Space

Journal Articles

Extension of Maggi and Kane Equations to Holonomic Dynamic Systems

Edward J. Haug

J. Comput. Nonlinear Dynam. December 2018, 13(12): 121003.

Paper No: CND-18-1275

DOI: https://doi.org/10.1115/1.4041579

Published Online: October 15, 2018

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Topics: Computers, Differential equations, Dynamic systems, Equations of motion, Errors, Manifolds, Pendulums, Algorithms, Dynamics (Mechanics)

Journal Articles

Simulation-Free Hyper-Reduction for Geometrically Nonlinear Structural Dynamics: A Quadratic Manifold Lifting Approach

Shobhit Jain, Paolo Tiso

J. Comput. Nonlinear Dynam. July 2018, 13(7): 071003.

Paper No: CND-17-1462

DOI: https://doi.org/10.1115/1.4040021

Published Online: May 28, 2018

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Topics: Simulation, Manifolds, Structural dynamics, Algorithms

Journal Articles

A Semi-Analytical Method for Calculation of Strongly Nonlinear Normal Modes of Mechanical Systems

S. Mahmoudkhani

J. Comput. Nonlinear Dynam. April 2018, 13(4): 041005.

Paper No: CND-17-1490

DOI: https://doi.org/10.1115/1.4039192

Published Online: February 26, 2018

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Topics: Algebra, Approximation, Computation, Degrees of freedom, Equations of motion, Manifolds, Pipes, Resonance, Standing waves, Traveling waves

Journal Articles

Forced Response Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes Method and Iterative Approach

Feng Liang, Xiao-Dong Yang, Ying-Jing Qian, Wei Zhang

J. Comput. Nonlinear Dynam. January 2018, 13(1): 014502.

Paper No: CND-16-1627

DOI: https://doi.org/10.1115/1.4037594

Published Online: October 9, 2017

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Topics: Fluids, Pipes, Vibration, Manifolds

Journal Articles

Reduction of Hamiltonian Mechanical Systems With Affine Constraints: A Geometric Unification

Robin Chhabra, M. Reza Emami, Yael Karshon

J. Comput. Nonlinear Dynam. March 2017, 12(2): 021007.

Paper No: CND-15-1456

DOI: https://doi.org/10.1115/1.4034729

Published Online: December 2, 2016

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Topics: Manifolds, Momentum, Phase space, Rotating disks

Journal Articles

A Lumped-Parameter Model of Multiscale Dynamics in Steam Supply Systems

Hikaru Hoshino, Yoshihiko Susuki, Takashi Hikihara

J. Comput. Nonlinear Dynam. November 2016, 11(6): 061018.

Paper No: CND-16-1023

DOI: https://doi.org/10.1115/1.4034491

Published Online: September 16, 2016

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Topics: Dynamics (Mechanics), Steam, Boilers, Pipes, Manifolds, Flow (Dynamics)

Journal Articles

Classification of Solutions to the Plane Extremal Distance Problem for Bodies With Smooth Boundaries

Jochen Damerau, Robert J. Low

J. Comput. Nonlinear Dynam. November 2016, 11(6): 061015.

Paper No: CND-15-1202

DOI: https://doi.org/10.1115/1.4034393

Published Online: August 22, 2016

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Topics: Bifurcation, Manifolds

Journal citation

NARROW

Redundant Manipulator Kinematics and Dynamics on Differentiable Manifolds

Order Reduction of Nonlinear Quasi-Periodic Systems Using Lyapunov–Perron Transformation

Boosting the Model Discovery of Hybrid Dynamical Systems in an Informed Sparse Regression Approach

Manipulator Kinematics and Dynamics on Differentiable Manifolds: Part I Kinematics

Change of the Most Probable Escape Path in a Fast-Slow Insect Outbreak System Under Different Noise Amplitude Ratios

Multiple Bifurcations and Complex Responses of Nonlinear Time-Delay Oscillators

Augmented Perpetual Manifolds and Perpetual Mechanical Systems—Part I: Definitions, Theorem, and Corollary for Triggering Perpetual Manifolds, Application in Reduced-Order Modeling and Particle-Wave Motion of Flexible Mechanical Systems

Multibody Dynamics on Differentiable Manifolds

Multidimensional Manifold Continuation for Adaptive Boundary-Value Problems

Geometric Spectral Algorithms for the Simulation of Rigid Bodies

Hyper-Reduction Over Nonlinear Manifolds for Large Nonlinear Mechanical Systems

Neural Adaptive Fault Tolerant Control of Nonlinear Fractional Order Systems Via Terminal Sliding Mode Approach

A Boundary Layer Approach to Multibody Systems Involving Single Frictional Impacts

Extension of Maggi and Kane Equations to Holonomic Dynamic Systems

Simulation-Free Hyper-Reduction for Geometrically Nonlinear Structural Dynamics: A Quadratic Manifold Lifting Approach

A Semi-Analytical Method for Calculation of Strongly Nonlinear Normal Modes of Mechanical Systems

Forced Response Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes Method and Iterative Approach

Reduction of Hamiltonian Mechanical Systems With Affine Constraints: A Geometric Unification

A Lumped-Parameter Model of Multiscale Dynamics in Steam Supply Systems

Classification of Solutions to the Plane Extremal Distance Problem for Bodies With Smooth Boundaries

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