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Journal Articles

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

Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh

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

Paper No: CND-21-1167

DOI: https://doi.org/10.1115/1.4054800

Published Online: June 22, 2022

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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

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

Paper No: CND-22-1014

DOI: https://doi.org/10.1115/1.4054111

Published Online: April 12, 2022

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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

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

Paper No: CND-21-1360

DOI: https://doi.org/10.1115/1.4054154

Published Online: April 1, 2022

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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

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

Paper No: CND-21-1197

DOI: https://doi.org/10.1115/1.4053271

Published Online: January 13, 2022

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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

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

Paper No: CND-20-1451

DOI: https://doi.org/10.1115/1.4052288

Published Online: September 22, 2021

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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

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

Paper No: CND-20-1290

DOI: https://doi.org/10.1115/1.4049334

Published Online: January 22, 2021

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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

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

Paper No: CND-20-1345

DOI: https://doi.org/10.1115/1.4048808

Published Online: November 18, 2020

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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

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

Paper No: CND-20-1101

DOI: https://doi.org/10.1115/1.4047390

Published Online: October 23, 2020

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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

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

Paper No: CND-20-1010

DOI: https://doi.org/10.1115/1.4048360

Published Online: September 28, 2020

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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

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

Paper No: CND-19-1457

DOI: https://doi.org/10.1115/1.4046641

Published Online: July 16, 2020

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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

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

Paper No: CND-19-1288

DOI: https://doi.org/10.1115/1.4046879

Published Online: April 27, 2020

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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

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

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

Ali Lotfi

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

Paper No: CND-18-1348

DOI: https://doi.org/10.1115/1.4045504

Published Online: December 11, 2019

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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

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

Paper No: CND-19-1126

DOI: https://doi.org/10.1115/1.4045287

Published Online: November 11, 2019

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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

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

Paper No: CND-18-1017

DOI: https://doi.org/10.1115/1.4044923

Published Online: October 18, 2019

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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

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

Paper No: CND-18-1441

DOI: https://doi.org/10.1115/1.4043891

Published Online: September 9, 2019

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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

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

Paper No: CND-19-1008

DOI: https://doi.org/10.1115/1.4043525

Published Online: May 13, 2019

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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

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

Paper No: CND-18-1402

DOI: https://doi.org/10.1115/1.4043361

Published Online: May 13, 2019

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

Journal Articles

Numerical Solution of Nonlinear Reaction–Advection–Diffusion Equation

Anup Singh, S. Das, S. H. Ong, H. Jafari

J. Comput. Nonlinear Dynam. April 2019, 14(4): 041003.

Paper No: CND-18-1173

DOI: https://doi.org/10.1115/1.4042687

Published Online: February 15, 2019

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Topics: Approximation, Diffusion (Physics), Stability, Boundary-value problems

Journal Articles

Voltage–Amplitude Response of Superharmonic Resonance of Second Order of Electrostatically Actuated MEMS Cantilever Resonators

Dumitru I. Caruntu, Martin A. Botello, Christian A. Reyes, Julio S. Beatriz

J. Comput. Nonlinear Dynam. March 2019, 14(3): 031005.

Paper No: CND-18-1119

DOI: https://doi.org/10.1115/1.4042017

Published Online: January 18, 2019

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Topics: Bifurcation, Boundary-value problems, Cantilevers, Microelectromechanical systems, Resonance, Damping, Vibration

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Journal citation

NARROW

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

Numerical Solution of Nonlinear Reaction–Advection–Diffusion Equation

Voltage–Amplitude Response of Superharmonic Resonance of Second Order of Electrostatically Actuated MEMS Cantilever Resonators

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