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Journal Articles

On the Use of Half-Implicit Numerical Integration in Multibody Dynamics

Luning Fang, Alexandra Kissel, Ruochun Zhang, Dan Negrut

J. Comput. Nonlinear Dynam. January 2023, 18(1): 014501.

Paper No: CND-22-1206

https://doi.org/10.1115/1.4056183

Published Online: November 17, 2022

View Article titled, On the Use of Half-Implicit Numerical Integration in Multibody Dynamics

Topics: Equations of motion, Friction, Jacobian matrices, Multibody dynamics, Pendulums, Computation, Simulation, Kinematics, Computer software, Differential algebraic equations

Journal Articles

Adaptive Uncertainty Estimator-Based Sliding Mode Control for a Spherical Robot: Methodology and Verification

Lufeng Zhang, Xuemei Ren, Dongdong Zheng

J. Comput. Nonlinear Dynam. October 2022, 17(10): 101002.

Paper No: CND-21-1379

https://doi.org/10.1115/1.4054593

Published Online: June 7, 2022

View Article titled, Adaptive Uncertainty Estimator-Based Sliding Mode Control for a Spherical Robot: Methodology and Verification

Topics: Control equipment, Errors, Pendulums, Robots, Sliding mode control, Spherical shells, Uncertainty, Design

Journal Articles

Stochastic Bifurcation and Energy Transfer in an Inerter-Based Pendulum Vibration Absorber

Joel A. Cosner, Wei-Che Tai

J. Comput. Nonlinear Dynam. August 2022, 17(8): 081003.

Paper No: CND-21-1315

https://doi.org/10.1115/1.4053798

Published Online: April 11, 2022

View Article titled, Stochastic Bifurcation and Energy Transfer in an Inerter-Based Pendulum Vibration Absorber

Topics: Bifurcation, Energy transformation, Pendulums, Vibration absorbers, Linear systems

Journal Articles

A Study of a Pendulum-Like Vibration Isolator With Quasi-Zero-Stiffness

Yishen Tian, Dengqing Cao, Yan Wang, Jie Tang, Bolong Jiang

J. Comput. Nonlinear Dynam. May 2022, 17(5): 051005.

Paper No: CND-21-1297

https://doi.org/10.1115/1.4053406

Published Online: March 14, 2022

View Article titled, A Study of a Pendulum-Like Vibration Isolator With Quasi-Zero-Stiffness

Topics: Displacement, Equilibrium (Physics), Pendulums, Springs, Stiffness, Vibration isolators, Computer simulation, Excitation

Journal Articles

A Noniterative Problem-Dependent Formula for Stiff Dynamic Problems

Shuenn-Yih Chang

J. Comput. Nonlinear Dynam. April 2022, 17(4): 041002.

Paper No: CND-21-1243

https://doi.org/10.1115/1.4053270

Published Online: January 18, 2022

View Article titled, A Noniterative Problem-Dependent Formula for Stiff Dynamic Problems

Topics: Eigenvalues, Stability, Errors, Pendulums

Journal Articles

Uncertainty Quantification of Differential Algebraic Equations Using Polynomial Chaos

Premjit Saha, Tarunraj Singh, Gary Dargush

J. Comput. Nonlinear Dynam. October 2021, 16(10): 101005.

Paper No: CND-21-1099

https://doi.org/10.1115/1.4051821

Published Online: August 11, 2021

View Article titled, Uncertainty Quantification of Differential Algebraic Equations Using Polynomial Chaos

Topics: Chaos, Differential algebraic equations, Polynomials, Pendulums, Algebra, Circuits, Uncertainty quantification

Journal Articles

Pole Placement for Delay Differential Equations With Time-Periodic Delays Using Galerkin Approximations

Shanti Swaroop Kandala, Thomas K. Uchida, C. P. Vyasarayani

J. Comput. Nonlinear Dynam. September 2021, 16(9): 091007.

Paper No: CND-20-1378

https://doi.org/10.1115/1.4051590

Published Online: July 27, 2021

View Article titled, Pole Placement for Delay Differential Equations With Time-Periodic Delays Using Galerkin Approximations

Topics: Delay differential equations, Delays, Galerkin method, Pendulums, Stability, Pole placement, Feedback, Optimization, Time delay systems

Journal Articles

Using Energy Shaping and Regulation for Limit Cycle Stabilization, Generation, and Transition in Simple Locomotive Systems

Mark Yeatman, Robert D. Gregg

J. Comput. Nonlinear Dynam. September 2021, 16(9): 091005.

Paper No: CND-20-1342

https://doi.org/10.1115/1.4051589

Published Online: July 19, 2021

View Article titled, Using Energy Shaping and Regulation for Limit Cycle Stabilization, Generation, and Transition in Simple Locomotive Systems

Topics: Dynamics (Mechanics), Limit cycles, Springs, Locomotives, Pendulums

Journal Articles

Nonlinear Dynamics of the Parametric Pendulum With a View on Wave Energy Harvesting Applications

Franco E. Dotti, Juan N. Virla

J. Comput. Nonlinear Dynam. June 2021, 16(6): 061007.

Paper No: CND-20-1432

https://doi.org/10.1115/1.4050699

Published Online: May 10, 2021

View Article titled, Nonlinear Dynamics of the Parametric Pendulum With a View on Wave Energy Harvesting Applications

Topics: Pendulums, Nonlinear dynamics, Wave energy, Rotation, Dynamics (Mechanics)

Journal Articles

Time-Optimal Control of Dynamic Systems Regarding Final Constraints

Philipp Eichmeir, Karin Nachbagauer, Thomas Lauß, Karim Sherif, Wolfgang Steiner

J. Comput. Nonlinear Dynam. March 2021, 16(3): 031003.

Paper No: CND-20-1290

https://doi.org/10.1115/1.4049334

Published Online: January 22, 2021

View Article titled, Time-Optimal Control of Dynamic Systems Regarding Final Constraints

Topics: Algorithms, Boundary-value problems, Differential equations, Dynamic systems, Errors, Optimal control, Optimization, Robots, Time optimal control, Pendulums

Journal Articles

Parameter Identification Based on Nonlinear Observer for Mechanical Systems

Patricio Ordaz, Miguel Ramírez, Liliam Rodríguez, Carlos Cuvas, Hugo Romero, Omar Sandre

J. Comput. Nonlinear Dynam. February 2021, 16(2): 021004.

Paper No: CND-20-1264

https://doi.org/10.1115/1.4049027

Published Online: November 23, 2020

View Article titled, Parameter Identification Based on Nonlinear Observer for Mechanical Systems

Topics: Algorithms, Inertia (Mechanics), Pendulums, State estimation, Excitation, Signals, Friction, Uncertainty

Journal Articles

Model-Order Reduction of Flexible Multibody Dynamics Via Free-Interface Component Mode Synthesis Method

Qinglong Tian, Peng Lan, Zuqing Yu

J. Comput. Nonlinear Dynam. October 2020, 15(10): 101008.

Paper No: CND-20-1112

https://doi.org/10.1115/1.4047868

Published Online: August 7, 2020

View Article titled, Model-Order Reduction of Flexible Multibody Dynamics Via Free-Interface Component Mode Synthesis Method

Topics: Deformation, Degrees of freedom, Equations of motion, Multibody dynamics, Multibody systems, Pendulums, Rotation, Simulation, Spin (Aerodynamics), Spinning (Textile)

Journal Articles

Backward Differentiation Formula and Newmark-Type Index-2 and Index-1 Integration Schemes for Constrained Mechanical Systems

T. Meyer, P. Li, B. Schweizer

J. Comput. Nonlinear Dynam. February 2020, 15(2): 021006.

Paper No: CND-19-1175

https://doi.org/10.1115/1.4045505

Published Online: December 19, 2019

View Article titled, Backward Differentiation Formula and Newmark-Type Index-2 and Index-1 Integration Schemes for Constrained Mechanical Systems

Topics: Algebra, Equations of motion, Errors, Pendulums, Stability, Simulation results, Simulation, Dimensions, Algorithms, Displacement

Journal Articles

Partial Finite-Time Stabilization of Perturbed Nonlinear Systems Based on the Novel Concept of Nonsingular Terminal Sliding Mode Method

Hamid Razmjooei, Mohammad Hossein Shafiei

J. Comput. Nonlinear Dynam. February 2020, 15(2): 021005.

Paper No: CND-19-1060

https://doi.org/10.1115/1.4045632

Published Online: December 19, 2019

View Article titled, Partial Finite-Time Stabilization of Perturbed Nonlinear Systems Based on the Novel Concept of Nonsingular Terminal Sliding Mode Method

Topics: Nonlinear systems, Stability, Control equipment, Design, Pendulums

Journal Articles

Modeling and Analysis of Spatial Flexible Mechanical Systems With a Spherical Clearance Joint Based on the LuGre Friction Model

Xiao Tan, Guoping Chen, Hanbo Shao

J. Comput. Nonlinear Dynam. January 2020, 15(1): 011005.

Paper No: CND-19-1256

https://doi.org/10.1115/1.4045240

Published Online: November 11, 2019

View Article titled, Modeling and Analysis of Spatial Flexible Mechanical Systems With a Spherical Clearance Joint Based on the LuGre Friction Model

Topics: Clearances (Engineering), Friction, Modeling, Pendulums

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

https://doi.org/10.1115/1.4044925

Published Online: October 7, 2019

View Article titled, Geometric Spectral Algorithms for the Simulation of Rigid Bodies

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

Journal Articles

On the Euler–Lagrange Equation for Planar Systems of Rigid Bodies or Lumped Masses

R. Wiebe, P. S. Harvey, Jr.

J. Comput. Nonlinear Dynam. September 2019, 14(9): 094502.

Paper No: CND-18-1479

https://doi.org/10.1115/1.4044145

Published Online: July 15, 2019

View Article titled, On the Euler–Lagrange Equation for Planar Systems of Rigid Bodies or Lumped Masses

Topics: Dynamic systems, Equations of motion, Equilibrium (Physics), Kinematics, Kinetic energy, Pendulums, Potential energy, Rotation, Errors, Nonlinear dynamics

Journal Articles

A Detailed Look at the SLIP Model Dynamics: Bifurcations, Chaotic Behavior, and Fractal Basins of Attraction

Petr Zaytsev, Tom Cnops, C. David Remy

J. Comput. Nonlinear Dynam. August 2019, 14(8): 081002.

Paper No: CND-18-1416

https://doi.org/10.1115/1.4043453

Published Online: May 13, 2019

View Article titled, A Detailed Look at the SLIP Model Dynamics: Bifurcations, Chaotic Behavior, and Fractal Basins of Attraction

Topics: Bifurcation, Dynamics (Mechanics), Energy levels (Quantum mechanics), Flight, Fractals, Pendulums, Robots, Springs, Poincaré maps, Stability

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

https://doi.org/10.1115/1.4041775

Published Online: November 19, 2018

View Article titled, A Boundary Layer Approach to Multibody Systems Involving Single Frictional Impacts

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

https://doi.org/10.1115/1.4041579

Published Online: October 15, 2018

View Article titled, Extension of Maggi and Kane Equations to Holonomic Dynamic Systems

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

Journal citation

NARROW

On the Use of Half-Implicit Numerical Integration in Multibody Dynamics

Adaptive Uncertainty Estimator-Based Sliding Mode Control for a Spherical Robot: Methodology and Verification

Stochastic Bifurcation and Energy Transfer in an Inerter-Based Pendulum Vibration Absorber

A Study of a Pendulum-Like Vibration Isolator With Quasi-Zero-Stiffness

A Noniterative Problem-Dependent Formula for Stiff Dynamic Problems

Uncertainty Quantification of Differential Algebraic Equations Using Polynomial Chaos

Pole Placement for Delay Differential Equations With Time-Periodic Delays Using Galerkin Approximations

Using Energy Shaping and Regulation for Limit Cycle Stabilization, Generation, and Transition in Simple Locomotive Systems

Nonlinear Dynamics of the Parametric Pendulum With a View on Wave Energy Harvesting Applications

Time-Optimal Control of Dynamic Systems Regarding Final Constraints

Parameter Identification Based on Nonlinear Observer for Mechanical Systems

Model-Order Reduction of Flexible Multibody Dynamics Via Free-Interface Component Mode Synthesis Method

Backward Differentiation Formula and Newmark-Type Index-2 and Index-1 Integration Schemes for Constrained Mechanical Systems

Partial Finite-Time Stabilization of Perturbed Nonlinear Systems Based on the Novel Concept of Nonsingular Terminal Sliding Mode Method

Modeling and Analysis of Spatial Flexible Mechanical Systems With a Spherical Clearance Joint Based on the LuGre Friction Model

Geometric Spectral Algorithms for the Simulation of Rigid Bodies

On the Euler–Lagrange Equation for Planar Systems of Rigid Bodies or Lumped Masses

A Detailed Look at the SLIP Model Dynamics: Bifurcations, Chaotic Behavior, and Fractal Basins of Attraction

A Boundary Layer Approach to Multibody Systems Involving Single Frictional Impacts

Extension of Maggi and Kane Equations to Holonomic Dynamic Systems

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