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Journal Articles

Geometric algebra for multibody dynamics. Part II: Applications

Olivier Bauchau

Publisher: ASME

J. Comput. Nonlinear Dynam.

Paper No: CND-24-1268

https://doi.org/10.1115/1.4067156

Published Online: November 15, 2024

View Articletitled, Geometric algebra for multibody dynamics. Part II: Applications

Topics: Algebra, Multibody dynamics, Kinematics

Journal Articles

Geometric algebra for multibody dynamics. Part I: Elements of geometric algebra

Olivier Bauchau

Publisher: ASME

J. Comput. Nonlinear Dynam.

Paper No: CND-24-1267

https://doi.org/10.1115/1.4067155

Published Online: November 15, 2024

View Articletitled, Geometric algebra for multibody dynamics. Part I: Elements of geometric algebra

Topics: Algebra, Multibody dynamics, Kinematics, Multibody systems, Computers, Reflection

Journal Articles

An Efficient Numerical Approach to Solve Fractional Coupled Boussinesq Equations

Saurabh Kumar, Vikas Gupta

Publisher: ASME

J. Comput. Nonlinear Dynam. December 2024, 19(12): 121002.

Paper No: CND-24-1038

https://doi.org/10.1115/1.4066389

Published Online: September 21, 2024

View Articletitled, An Efficient Numerical Approach to Solve Fractional Coupled Boussinesq Equations

Topics: Approximation, Errors, Function approximation, Polynomials, Algebra, Iterative methods

Journal Articles

Steady-State Rotary Periodic Solutions of Rigid and Flexible Mechanisms With Large Spatial Rotations Using the Incremental Harmonic Balance Method for Differential-Algebraic Equations

R. Ju, S. M. Yang, H. Ren, W. Fan, R. C. Ni, P. Gu

Publisher: ASME

J. Comput. Nonlinear Dynam. December 2024, 19(12): 121001.

Paper No: CND-24-1072

https://doi.org/10.1115/1.4066221

Published Online: September 13, 2024

View Articletitled, Steady-State Rotary Periodic Solutions of Rigid and Flexible Mechanisms With Large Spatial Rotations Using the Incremental Harmonic Balance Method for Differential-Algebraic Equations

Topics: Algebra, Dynamic modeling, Fourier series, Steady state, Rotation, Frequency response, Equations of motion

Journal Articles

Inertial Parameter Identification for Closed-Loop Mechanisms: Adaptation of Linear Regression for Coordinate Partitioning

Lauri Pyrhönen, Thijs Willems, Aki Mikkola, Frank Naets

Publisher: ASME

J. Comput. Nonlinear Dynam. May 2024, 19(5): 051001.

Paper No: CND-23-1278

https://doi.org/10.1115/1.4064794

Published Online: March 7, 2024

View Articletitled, Inertial Parameter Identification for Closed-Loop Mechanisms: Adaptation of Linear Regression for Coordinate Partitioning

Topics: Algorithms, Differential equations, Friction, Kinematics, Multibody systems, Regression models, State estimation, System dynamics, Torque, Trajectories (Physics)

Journal Articles

Numerical Treatment for the Solution of Stochastic Fractional Differential Equation Using Lerch Operational Matrix Method

P. K. Singh, S. Saha Ray

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2024, 19(1): 011004.

Paper No: CND-22-1311

https://doi.org/10.1115/1.4063885

Published Online: November 15, 2023

View Articletitled, Numerical Treatment for the Solution of Stochastic Fractional Differential Equation Using Lerch Operational Matrix Method

Topics: Differential equations, Polynomials, Algebra, Error analysis

Journal Articles

Multibody Constraints in the Geometrically Nonlinear Intrinsic Formulation

Yinan Wang, Keisuke Otsuka

Publisher: ASME

J. Comput. Nonlinear Dynam. December 2023, 18(12): 121007.

Paper No: CND-23-1132

https://doi.org/10.1115/1.4063724

Published Online: October 26, 2023

View Articletitled, Multibody Constraints in the Geometrically Nonlinear Intrinsic Formulation

Topics: Displacement, Hinges, Kinematics, Rotation, Simulation, Manufacturing, Dynamics (Mechanics), Deformation, Stress, Algebra

Journal Articles

Application of the Constrained Formulation to the Nonlinear Sloshing Problem Based on the Arbitrary Lagrangian–Eulerian Method

Kensuke Hara

Publisher: ASME

J. Comput. Nonlinear Dynam. December 2023, 18(12): 121006.

Paper No: CND-22-1345

https://doi.org/10.1115/1.4063722

Published Online: October 26, 2023

View Articletitled, Application of the Constrained Formulation to the Nonlinear Sloshing Problem Based on the Arbitrary Lagrangian–Eulerian Method

Topics: Algebra, Damping, Fluids, Sloshing, Computation, Size reduction (Materials), Differential equations, Displacement, Equations of motion

Journal Articles

An Analytical Method for Sensitivity Analysis of Rigid Multibody System Dynamics Using Projective Geometric Algebra

Guangzhen Sun, Ye Ding

Publisher: ASME

J. Comput. Nonlinear Dynam. November 2023, 18(11): 111002.

Paper No: CND-22-1310

https://doi.org/10.1115/1.4063225

Published Online: September 14, 2023

View Articletitled, An Analytical Method for Sensitivity Analysis of Rigid Multibody System Dynamics Using Projective Geometric Algebra

Topics: Algebra, Algorithms, Dynamics (Mechanics), Multibody systems, Particulate matter, Path planning, Sensitivity analysis, Robots, Rigid-body mechanisms, Inertia (Mechanics)

Journal Articles

A Python Implementation of a Robust Multi-Harmonic Balance With Numerical Continuation and Automatic Differentiation for Structural Dynamics

Tiago S. Martins, Francesco Trainotti, Andreas Zwölfer, Frederico Afonso

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2023, 18(7): 071008.

Paper No: CND-22-1326

https://doi.org/10.1115/1.4062424

Published Online: May 25, 2023

View Articletitled, A Python Implementation of a Robust Multi-Harmonic Balance With Numerical Continuation and Automatic Differentiation for Structural Dynamics

Topics: Cycles, Dry friction, Dynamics (Mechanics), Errors, Frequency response, Parametrization, Polynomials, Structural dynamics, Steady state, Springs

Journal Articles

A Cluster Based Algorithm Coupled With Shooting Method for Estimation of Parametric Clusters Yielding Optimal Stable Periodic Solutions in Nonlinear Vibrating Systems

V. P. Premchand, Bipin Balaram, M. D. Narayanan, A. S. Sajith

Publisher: ASME

J. Comput. Nonlinear Dynam. September 2022, 17(9): 091003.

Paper No: CND-22-1025

https://doi.org/10.1115/1.4054456

Published Online: May 18, 2022

View Articletitled, A Cluster Based Algorithm Coupled With Shooting Method for Estimation of Parametric Clusters Yielding Optimal Stable Periodic Solutions in Nonlinear Vibrating Systems

Topics: Algebra, Algorithms, Design, Energy budget (Physics), Stability, Nonlinear vibration, Vibration absorbers, Optimization, Errors, Bifurcation

Journal Articles

Singularity-Free Lie Group Integration and Geometrically Consistent Evaluation of Multibody System Models Described in Terms of Standard Absolute Coordinates

Andreas Müller

Publisher: ASME

J. Comput. Nonlinear Dynam. May 2022, 17(5): 051003.

Paper No: CND-21-1320

https://doi.org/10.1115/1.4053368

Published Online: March 8, 2022

View Articletitled, Singularity-Free Lie Group Integration and Geometrically Consistent Evaluation of Multibody System Models Described in Terms of Standard Absolute Coordinates

Topics: Multibody systems, Parametrization, Rotation, Screws, Kinematics, Equations of motion, Algebra

Journal Articles

Fractional Propagation of Short Light Pulses in Monomode Optical Fibers: Comparison of Beta Derivative and Truncated M-Fractional Derivative

Muhammad Bilal Riaz, Adil Jhangeer, Jan Awrejcewicz, Dumitru Baleanu, Sana Tahir

Publisher: ASME

J. Comput. Nonlinear Dynam. March 2022, 17(3): 031002.

Paper No: CND-21-1067

https://doi.org/10.1115/1.4052876

Published Online: December 6, 2021

View Articletitled, Fractional Propagation of Short Light Pulses in Monomode Optical Fibers: Comparison of Beta Derivative and Truncated M-Fractional Derivative

Topics: Algebra, Optical fiber, Solitons

Journal Articles

Anomalous Nonlinear Dynamics Behavior of Fractional Viscoelastic Beams

Jorge L. Suzuki, Ehsan Kharazmi, Pegah Varghaei, Maryam Naghibolhosseini, Mohsen Zayernouri

Publisher: ASME

J. Comput. Nonlinear Dynam. November 2021, 16(11): 111005.

Paper No: CND-20-1412

https://doi.org/10.1115/1.4052286

Published Online: September 22, 2021

View Articletitled, Anomalous Nonlinear Dynamics Behavior of Fractional Viscoelastic Beams

Topics: Approximation, Cantilever beams, Dynamics (Mechanics), Equations of motion, Excitation, Free vibrations, Hamilton's principle, Nonlinear dynamics, Nonlinear systems, Relaxation (Physics)

Journal Articles

Uncertainty Quantification of Differential Algebraic Equations Using Polynomial Chaos

Premjit Saha, Tarunraj Singh, Gary Dargush

Publisher: ASME

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 Articletitled, Uncertainty Quantification of Differential Algebraic Equations Using Polynomial Chaos

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

Journal Articles

Well-Posed Formulations for Nonholonomic Mechanical System Dynamics

Edward J. Haug

Publisher: ASME

J. Comput. Nonlinear Dynam. October 2020, 15(10): 101003.

Paper No: CND-19-1329

https://doi.org/10.1115/1.4047499

Published Online: August 7, 2020

View Articletitled, Well-Posed Formulations for Nonholonomic Mechanical System Dynamics

Topics: Algebra, Design, Differential equations, Equations of motion, System dynamics, Kinematics, Theorems (Mathematics)

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

Publisher: ASME

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 Articletitled, 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

Approximate Limit Cycles for Vortex-Induced Vibration of a Sprung Cylinder

Guoqi Zhang, Zhiqiang Wu, Yuancen Wang

Publisher: ASME

J. Comput. Nonlinear Dynam. February 2020, 15(2): 021004.

Paper No: CND-19-1057

https://doi.org/10.1115/1.4045631

Published Online: December 19, 2019

View Articletitled, Approximate Limit Cycles for Vortex-Induced Vibration of a Sprung Cylinder

Topics: Approximation, Cylinders, Limit cycles, Vortex-induced vibration, Time series, Fluids, Errors, Algebra

Journal Articles

Singularity: A maple Library for Local Zero Bifurcation Control of Scalar Smooth Maps

Majid Gazor, Mahsa Kazemi

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2020, 15(1): 011001.

Paper No: CND-18-1510

https://doi.org/10.1115/1.4045286

Published Online: November 11, 2019

View Articletitled, Singularity: A maple Library for Local Zero Bifurcation Control of Scalar Smooth Maps

Topics: Bifurcation, Scalars, Algebra, Computation, Geometry

Journal Articles

Variable Impedance Control of Powered Knee Prostheses Using Human-Inspired Algebraic Curves

Alireza Mohammadi, Robert D. Gregg

Publisher: ASME

J. Comput. Nonlinear Dynam. October 2019, 14(10): 101007.

Paper No: CND-18-1443

https://doi.org/10.1115/1.4043002

Published Online: September 9, 2019

View Articletitled, Variable Impedance Control of Powered Knee Prostheses Using Human-Inspired Algebraic Curves

Topics: Algebra, Knee, Algorithms, Design

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Geometric algebra for multibody dynamics. Part II: Applications

Geometric algebra for multibody dynamics. Part I: Elements of geometric algebra

An Efficient Numerical Approach to Solve Fractional Coupled Boussinesq Equations

Steady-State Rotary Periodic Solutions of Rigid and Flexible Mechanisms With Large Spatial Rotations Using the Incremental Harmonic Balance Method for Differential-Algebraic Equations

Inertial Parameter Identification for Closed-Loop Mechanisms: Adaptation of Linear Regression for Coordinate Partitioning

Numerical Treatment for the Solution of Stochastic Fractional Differential Equation Using Lerch Operational Matrix Method

Multibody Constraints in the Geometrically Nonlinear Intrinsic Formulation

Application of the Constrained Formulation to the Nonlinear Sloshing Problem Based on the Arbitrary Lagrangian–Eulerian Method

An Analytical Method for Sensitivity Analysis of Rigid Multibody System Dynamics Using Projective Geometric Algebra

A Python Implementation of a Robust Multi-Harmonic Balance With Numerical Continuation and Automatic Differentiation for Structural Dynamics

A Cluster Based Algorithm Coupled With Shooting Method for Estimation of Parametric Clusters Yielding Optimal Stable Periodic Solutions in Nonlinear Vibrating Systems

Singularity-Free Lie Group Integration and Geometrically Consistent Evaluation of Multibody System Models Described in Terms of Standard Absolute Coordinates

Fractional Propagation of Short Light Pulses in Monomode Optical Fibers: Comparison of Beta Derivative and Truncated M-Fractional Derivative

Anomalous Nonlinear Dynamics Behavior of Fractional Viscoelastic Beams

Uncertainty Quantification of Differential Algebraic Equations Using Polynomial Chaos

Well-Posed Formulations for Nonholonomic Mechanical System Dynamics

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

Approximate Limit Cycles for Vortex-Induced Vibration of a Sprung Cylinder

Singularity: A maple Library for Local Zero Bifurcation Control of Scalar Smooth Maps

Variable Impedance Control of Powered Knee Prostheses Using Human-Inspired Algebraic Curves

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