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Journal Articles

Optimal Control of Mechanical Systems Based on Path-Fitted Variational Integrators

Xinlei Kong, Shiyu Yu, Huibin Wu

Publisher: ASME

J. Comput. Nonlinear Dynam. March 2024, 19(3): 031002.

Paper No: CND-23-1150

https://doi.org/10.1115/1.4064360

Published Online: January 11, 2024

View Article titled, Optimal Control of Mechanical Systems Based on Path-Fitted Variational Integrators

Topics: Optimal control, Optimization, Boundary-value problems

Journal Articles

Modified Atangana–Baleanu Caputo Operator for Time-Fractional Kuramoto–Sivashinsky Equation Via Quintic B -Splines

Komal Deswal, Renu Choudhary, Devendra Kumar

Publisher: ASME

J. Comput. Nonlinear Dynam. December 2023, 18(12): 121004.

Paper No: CND-22-1323

https://doi.org/10.1115/1.4063554

Published Online: October 23, 2023

View Article titled, Modified Atangana–Baleanu Caputo Operator for Time-Fractional Kuramoto–Sivashinsky Equation Via Quintic B -Splines

Topics: Approximation, Errors, Splines, Stability, Boundary-value problems, B-splines

Journal Articles

A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study

Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh

Publisher: ASME

J. Comput. Nonlinear Dynam. October 2022, 17(10): 101004.

Paper No: CND-21-1167

https://doi.org/10.1115/1.4054800

Published Online: June 22, 2022

View Article titled, A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study

Topics: Boundary-value problems, Heat, Mass transfer, Partial differential equations, Stability, Temperature, Errors, Differential equations, Flow (Dynamics), Construction

Journal Articles

Dynamic Response of Some Noncarbon Nanomaterials Using Multiscale Modeling Involving Material and Geometric Nonlinearities

B. M. Ravi Raj, Sandeep Singh, Kiran D. Mali, Priyansh Singh

Publisher: ASME

J. Comput. Nonlinear Dynam. August 2022, 17(8): 081005.

Paper No: CND-22-1014

https://doi.org/10.1115/1.4054111

Published Online: April 12, 2022

View Article titled, Dynamic Response of Some Noncarbon Nanomaterials Using Multiscale Modeling Involving Material and Geometric Nonlinearities

Topics: Boundary-value problems, Damping, Dynamic response, Free vibrations, Multiscale modeling, Nanomaterials, Stress, Transients (Dynamics), Finite element model, Gallium nitride

Journal Articles

Forward and Inverse Problems Related to Nanofluid Flow Between Nonparallel Planes in Uncertain Environment

Uddhaba Biswal, S. Chakraverty, Bata Krushna Ojha

Publisher: ASME

J. Comput. Nonlinear Dynam. August 2022, 17(8): 081002.

Paper No: CND-21-1360

https://doi.org/10.1115/1.4054154

Published Online: April 1, 2022

View Article titled, Forward and Inverse Problems Related to Nanofluid Flow Between Nonparallel Planes in Uncertain Environment

Topics: Flow (Dynamics), Inverse problems, Nanofluids, Nanoparticles, Boundary-value problems, Approximation, Differential equations

Journal Articles

Computing Natural Frequencies and Mode Shapes of an Axially Moving Nonuniform Beam

Alok Sinha

Publisher: ASME

J. Comput. Nonlinear Dynam. April 2022, 17(4): 041001.

Paper No: CND-21-1197

https://doi.org/10.1115/1.4053271

Published Online: January 13, 2022

View Article titled, Computing Natural Frequencies and Mode Shapes of an Axially Moving Nonuniform Beam

Topics: Boundary-value problems, Mode shapes, Partial differential equations, Eigenvalues, Galerkin method, Optimization, Time-varying systems

Journal Articles

Nonlinear Longitudinal Vibrations in Accreting One-Dimensional Nanostructures

S. A. Surulere, M. Y. Shatalov, A. C. Mkolesia, I. A. Fedotov

Publisher: ASME

J. Comput. Nonlinear Dynam. December 2021, 16(12): 121001.

Paper No: CND-20-1451

https://doi.org/10.1115/1.4052288

Published Online: September 22, 2021

View Article titled, Nonlinear Longitudinal Vibrations in Accreting One-Dimensional Nanostructures

Topics: Atoms, Chain, Damping, Nanostructures , Partial differential equations, Vibration, Approximation, Computer simulation, Boundary-value problems

Journal Articles

Time-Optimal Control of Dynamic Systems Regarding Final Constraints

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

Publisher: ASME

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

The Adjoint Method for Time-Optimal Control Problems

Philipp Eichmeir, Thomas Lauß, Stefan Oberpeilsteiner, Karin Nachbagauer, Wolfgang Steiner

Publisher: ASME

J. Comput. Nonlinear Dynam. February 2021, 16(2): 021003.

Paper No: CND-20-1345

https://doi.org/10.1115/1.4048808

Published Online: November 18, 2020

View Article titled, The Adjoint Method for Time-Optimal Control Problems

Topics: Time optimal control, Vehicles, Optimal control, Equations of motion, Boundary-value problems, Dynamic systems, Roads

Journal Articles

Nonlinear Vibrations of Embedded Nanoplates Under In-Plane Magnetic Field Based on Nonlocal Elasticity Theory

Olga Mazur, Jan Awrejcewicz

Publisher: ASME

J. Comput. Nonlinear Dynam. December 2020, 15(12): 121001.

Paper No: CND-20-1101

https://doi.org/10.1115/1.4047390

Published Online: October 23, 2020

View Article titled, Nonlinear Vibrations of Embedded Nanoplates Under In-Plane Magnetic Field Based on Nonlocal Elasticity Theory

Topics: Boundary-value problems, Elasticity, Magnetic fields, Stress, Vibration

Journal Articles

A New Approach to Compute Natural Frequencies and Mode Shapes of One-Dimensional Continuous Structures With Arbitrary Nonuniformities

Alok Sinha

Publisher: ASME

J. Comput. Nonlinear Dynam. November 2020, 15(11): 111004.

Paper No: CND-20-1010

https://doi.org/10.1115/1.4048360

Published Online: September 28, 2020

View Article titled, A New Approach to Compute Natural Frequencies and Mode Shapes of One-Dimensional Continuous Structures With Arbitrary Nonuniformities

Topics: Mode shapes, Vibration, Boundary-value problems

Journal Articles

A New Approach to Transient Vibration Analysis of Two-Dimensional Beam Structures at Medium and High Frequencies

Bingen Yang, Yichi Zhang

Publisher: ASME

J. Comput. Nonlinear Dynam. September 2020, 15(9): 091006.

Paper No: CND-19-1457

https://doi.org/10.1115/1.4046641

Published Online: July 16, 2020

View Article titled, A New Approach to Transient Vibration Analysis of Two-Dimensional Beam Structures at Medium and High Frequencies

Topics: Displacement, Excitation, Laplace transforms, Structural mechanics, Transfer functions, Transient analysis, Transients (Dynamics), Vibration, Vibration analysis, Finite element analysis

Journal Articles

Numerical Solution of Nonlinear Space–Time Fractional-Order Advection–Reaction–Diffusion Equation

Kushal Dhar Dwivedi, Rajeev, Subir Das, Dumitru Baleanu

Publisher: ASME

J. Comput. Nonlinear Dynam. June 2020, 15(6): 061005.

Paper No: CND-19-1288

https://doi.org/10.1115/1.4046879

Published Online: April 27, 2020

View Article titled, Numerical Solution of Nonlinear Space–Time Fractional-Order Advection–Reaction–Diffusion Equation

Topics: Diffusion (Physics), Polynomials, Spacetime, Error analysis, Boundary-value problems, Approximation, Numerical analysis

Journal Articles

Multidimensional Manifold Continuation for Adaptive Boundary-Value Problems

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

Publisher: ASME

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

Paper No: CND-19-1390

https://doi.org/10.1115/1.4046498

Published Online: March 18, 2020

View Article titled, Multidimensional Manifold Continuation for Adaptive Boundary-Value Problems

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

Journal Articles

A Development in the Extended Ritz Method for Solving a General Class of Fractional Variational Problems

Ali Lotfi

Publisher: ASME

J. Comput. Nonlinear Dynam. February 2020, 15(2): 021001.

Paper No: CND-18-1348

https://doi.org/10.1115/1.4045504

Published Online: December 11, 2019

View Article titled, A Development in the Extended Ritz Method for Solving a General Class of Fractional Variational Problems

Topics: Approximation, Boundary-value problems, Polynomials, Theorems (Mathematics), Function approximation

Journal Articles

Exact Nonlinear Dynamic Analysis of a Beam With a Nonlinear Vibration Absorber and With Various Boundary Conditions

Mohammad Bukhari, Oumar Barry

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2020, 15(1): 011003.

Paper No: CND-19-1126

https://doi.org/10.1115/1.4045287

Published Online: November 11, 2019

View Article titled, Exact Nonlinear Dynamic Analysis of a Beam With a Nonlinear Vibration Absorber and With Various Boundary Conditions

Topics: Boundary-value problems, Mode shapes, Nonlinear vibration, Vibration, Damping

Journal Articles

Synchronization of Spatiotemporal Irregular Wave Propagation Via Boundary Coupling

Liangliang Li, Yu Huang, Mingqing Xiao

Publisher: ASME

J. Comput. Nonlinear Dynam. December 2019, 14(12): 121007.

Paper No: CND-18-1017

https://doi.org/10.1115/1.4044923

Published Online: October 18, 2019

View Article titled, Synchronization of Spatiotemporal Irregular Wave Propagation Via Boundary Coupling

Topics: Boundary-value problems, Delays, Dynamics (Mechanics), Signals, Spatiotemporal phenomena, Synchronization, Wave equations, Wave propagation, Waves, Computer simulation

Journal Articles

Computational Modeling of Inertial Effects on Electromechanics of the Heart

Ovais A. Jaffery, Imran Akhtar, S. M. Imran Majeed, Tahir Zaidi

Publisher: ASME

J. Comput. Nonlinear Dynam. October 2019, 14(10): 101006.

Paper No: CND-18-1441

https://doi.org/10.1115/1.4043891

Published Online: September 9, 2019

View Article titled, Computational Modeling of Inertial Effects on Electromechanics of the Heart

Topics: Biological tissues, Boundary-value problems, Cardiac cycle, Computer simulation, Deformation, Fibers, Myocardium, Physiology, Pressure, Inertia (Mechanics)

Journal Articles

A Novel Method for Solving the Bagley-Torvik Equation as Ordinary Differential Equation

Yong Xu, Qixian Liu, Jike Liu, Yanmao Chen

Publisher: ASME

J. Comput. Nonlinear Dynam. August 2019, 14(8): 081005.

Paper No: CND-19-1008

https://doi.org/10.1115/1.4043525

Published Online: May 13, 2019

View Article titled, A Novel Method for Solving the Bagley-Torvik Equation as Ordinary Differential Equation

Topics: Boundary-value problems, Differential equations, Separation (Technology), Algorithms, Diffusion (Physics)

Journal Articles

Vibration Characteristics of a Hydroelectric Generating System During the Load Rejection Process

Bingqian Guo, Beibei Xu, Diyi Chen, Wei Ye, Huanhuan Li

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2019, 14(7): 071006.

Paper No: CND-18-1402

https://doi.org/10.1115/1.4043361

Published Online: May 13, 2019

View Article titled, Vibration Characteristics of a Hydroelectric Generating System During the Load Rejection Process

Topics: Bearings, Boundary-value problems, Generators, Hydraulic turbines, Hydropower, Stress, Vibration, Rotors, Displacement, Stiffness

Journal citation

NARROW

Optimal Control of Mechanical Systems Based on Path-Fitted Variational Integrators

Modified Atangana–Baleanu Caputo Operator for Time-Fractional Kuramoto–Sivashinsky Equation Via Quintic B -Splines

A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study

Dynamic Response of Some Noncarbon Nanomaterials Using Multiscale Modeling Involving Material and Geometric Nonlinearities

Forward and Inverse Problems Related to Nanofluid Flow Between Nonparallel Planes in Uncertain Environment

Computing Natural Frequencies and Mode Shapes of an Axially Moving Nonuniform Beam

Nonlinear Longitudinal Vibrations in Accreting One-Dimensional Nanostructures

Time-Optimal Control of Dynamic Systems Regarding Final Constraints

The Adjoint Method for Time-Optimal Control Problems

Nonlinear Vibrations of Embedded Nanoplates Under In-Plane Magnetic Field Based on Nonlocal Elasticity Theory

A New Approach to Compute Natural Frequencies and Mode Shapes of One-Dimensional Continuous Structures With Arbitrary Nonuniformities

A New Approach to Transient Vibration Analysis of Two-Dimensional Beam Structures at Medium and High Frequencies

Numerical Solution of Nonlinear Space–Time Fractional-Order Advection–Reaction–Diffusion Equation

Multidimensional Manifold Continuation for Adaptive Boundary-Value Problems

A Development in the Extended Ritz Method for Solving a General Class of Fractional Variational Problems

Exact Nonlinear Dynamic Analysis of a Beam With a Nonlinear Vibration Absorber and With Various Boundary Conditions

Synchronization of Spatiotemporal Irregular Wave Propagation Via Boundary Coupling

Computational Modeling of Inertial Effects on Electromechanics of the Heart

A Novel Method for Solving the Bagley-Torvik Equation as Ordinary Differential Equation

Vibration Characteristics of a Hydroelectric Generating System During the Load Rejection Process

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