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Journal Articles

Periodic Solutions of Wave Propagation in a Strongly Nonlinear Monatomic Chain and Their Novel Stability and Bifurcation Analyses

Bingxu Zhang, Weidong Zhu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. November 2024, 91(11): 111010.
Paper No: JAM-24-1206
https://doi.org/10.1115/1.4066216
Published Online: September 10, 2024
View Article titled, Periodic Solutions of Wave Propagation in a Strongly Nonlinear Monatomic Chain and Their Novel Stability and Bifurcation Analyses
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Topics: Bifurcation, Chain, Stability, Wave propagation, Nonlinear waves
Journal Articles

Bifurcations and Stability Analysis of Elastic Slender Structures Using Static Discrete Elastic Rods Method

Weicheng Huang, Yingchao Zhang, Tian Yu, Mingchao Liu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. September 2023, 90(9): 094501.
Paper No: JAM-23-1100
https://doi.org/10.1115/1.4062533
Published Online: June 5, 2023
View Article titled, Bifurcations and Stability Analysis of Elastic Slender Structures Using Static Discrete Elastic Rods Method
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Topics: Bifurcation, Distributed power generation, Rods, Stability, Strips, Equilibrium (Physics), Relaxation (Physics)
Journal Articles

Snap Buckling in Overhand Knots

Dezhong Tong, Andrew Choi, Jungseock Joo, Andy Borum, Mohammad Khalid Jawed
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. April 2023, 90(4): 041008.
Paper No: JAM-22-1370
https://doi.org/10.1115/1.4056478
Published Online: January 17, 2023
View Article titled, Snap Buckling in Overhand Knots
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Topics: Braid (Textile), Buckling, Friction, Rods, Simulation, Geometry, Topology, Shapes, Bifurcation, Computer simulation
Includes: Supplementary data
Journal Articles

Exploiting Bifurcation Behaviors in Parametrically Excited Mode-Localized Resonators for Mass Sensing

Jiahao Song, Ming Lyu, Najib Kacem, Pengbo Liu, Yu Huang, Kefeng Fan, Jian Zhao
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. November 2022, 89(11): 111006.
Paper No: JAM-22-1169
https://doi.org/10.1115/1.4055543
Published Online: September 27, 2022
View Article titled, Exploiting Bifurcation Behaviors in Parametrically Excited Mode-Localized Resonators for Mass Sensing
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Topics: Bifurcation, Damping, Sensors, Dynamic response, Stability
Journal Articles

A General Theory and Analytical Solutions for Post-Buckling Behaviors of Thin Sheets

Jiawei Zhang, Xinghan Qiu, Changguo Wang, Yuanpeng Liu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 2022, 89(6): 061003.
Paper No: JAM-21-1492
https://doi.org/10.1115/1.4053990
Published Online: March 16, 2022
View Article titled, A General Theory and Analytical Solutions for Post-Buckling Behaviors of Thin Sheets
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Topics: Bifurcation, Buckling, Design, Shear (Mechanics), Tension, Wavelength, Simulation
Journal Articles

A Modified Incremental Harmonic Balance Method Combined With Tikhonov Regularization for Periodic Motion of Nonlinear System

Ze-chang Zheng, Zhong-rong Lu, Yan-mao Chen, Ji-ke Liu, Guang Liu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. February 2022, 89(2): 021001.
Paper No: JAM-21-1263
https://doi.org/10.1115/1.4052573
Published Online: October 18, 2021
View Article titled, A Modified Incremental Harmonic Balance Method Combined With Tikhonov Regularization for Periodic Motion of Nonlinear System
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Topics: Airfoils, Bifurcation, Excitation, Nonlinear systems, Vibration
Journal Articles

On the Electro-Mechanical Stability of Elastomeric Coaxial Fibers

D. R. Clarke, J. W. Hutchinson
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 2021, 88(6): 061005.
Paper No: JAM-21-1074
https://doi.org/10.1115/1.4050397
Published Online: March 26, 2021
View Article titled, On the Electro-Mechanical Stability of Elastomeric Coaxial Fibers
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Topics: Bifurcation, Fibers, Stability, Stress
Includes: Supplementary data
Journal Articles

Control of Period-Doubling and Chaos in Varying Compliance Resonances for a Ball Bearing

Zhiyong Zhang, Xiaoting Rui, Rui Yang, Yushu Chen
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. February 2020, 87(2): 021005.
Paper No: JAM-19-1354
https://doi.org/10.1115/1.4045398
Published Online: December 5, 2019
View Article titled, Control of Period-Doubling and Chaos in Varying Compliance Resonances for a Ball Bearing
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Topics: Ball bearings, Bifurcation, Chaos, Resonance, Stiffness, Bearings, Rotors
Journal Articles

Nudging Axially Compressed Cylindrical Panels Toward Imperfection Insensitivity

B. S. Cox, R. M. J. Groh, A. Pirrera
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. July 2019, 86(7): 071010.
Paper No: JAM-19-1025
https://doi.org/10.1115/1.4043284
Published Online: April 19, 2019
View Article titled, Nudging Axially Compressed Cylindrical Panels Toward Imperfection Insensitivity
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Topics: Bifurcation, Buckling, Combined cycle power stations, Equilibrium (Physics), Geometry, Load bearing capacity, Shells, Stability, Stress, Deformation
Journal Articles

An Incremental Harmonic Balance Method With a General Formula of Jacobian Matrix and a Direct Construction Method in Stability Analysis of Periodic Responses of General Nonlinear Delay Differential Equations

Xuefeng Wang, Weidong Zhu, Xi Zhao
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. June 2019, 86(6): 061011.
Paper No: JAM-18-1558
https://doi.org/10.1115/1.4042836
Published Online: April 1, 2019
View Article titled, An Incremental Harmonic Balance Method With a General Formula of Jacobian Matrix and a Direct Construction Method in Stability Analysis of Periodic Responses of General Nonlinear Delay Differential Equations
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Topics: Construction, Delay differential equations, Delays, Jacobian matrices, Stability, Bifurcation, Matlab
Journal Articles

Nonlinear Buckling and Postbuckling of Shallow Arches With Vertical Elastic Supports

Yang Zhou, Zhuangpeng Yi, Ilinca Stanciulescu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. June 2019, 86(6): 061001.
Paper No: JAM-18-1647
https://doi.org/10.1115/1.4042572
Published Online: March 16, 2019
View Article titled, Nonlinear Buckling and Postbuckling of Shallow Arches With Vertical Elastic Supports
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Topics: Arches, Bifurcation, Buckling, Equilibrium (Physics), Stress, Stiffness
Journal Articles

Analytical Modeling and Impedance Characterization of the Nonlinear Dynamics of Thermomechanically Coupled Structures

Benjamin A. Goodpaster, Ryan L. Harne
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. August 2018, 85(8): 081010.
Paper No: JAM-18-1182
https://doi.org/10.1115/1.4040243
Published Online: June 4, 2018
View Article titled, Analytical Modeling and Impedance Characterization of the Nonlinear Dynamics of Thermomechanically Coupled Structures
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Topics: Bifurcation, Displacement, Dynamics (Mechanics), Nonlinear dynamics, Temperature, Thermomechanics, Vibration, Mechanical impedance, Stress, Excitation
Journal Articles

Nonlinear Stability Analysis of Sandwich Wide Panels—Part II: Postbuckling Response

Zhangxian Yuan, George A. Kardomateas
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. August 2018, 85(8): 081007.
Paper No: JAM-18-1110
https://doi.org/10.1115/1.4039954
Published Online: June 1, 2018
View Article titled, Nonlinear Stability Analysis of Sandwich Wide Panels—Part II: Postbuckling Response
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Topics: Bifurcation, Buckling, Equilibrium (Physics), Stiffness, Stress, Displacement, Stability
Journal Articles

Constrained Buckling of Spatial Elastica: Application of Optimal Control Method

Anna Liakou
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. August 2018, 85(8): 081005.
Paper No: JAM-18-1139
https://doi.org/10.1115/1.4040118
Published Online: May 28, 2018
View Article titled, Constrained Buckling of Spatial Elastica: Application of Optimal Control Method
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Topics: Buckling, Clearances (Engineering), Optimal control, Stiffness, Stress, Pressure, Bifurcation
Journal Articles

Shooting and Arc-Length Continuation Method for Periodic Solution and Bifurcation of Nonlinear Oscillation of Viscoelastic Dielectric Elastomers

Fan Liu, Jinxiong Zhou
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. January 2018, 85(1): 011005.
Paper No: JAM-17-1538
https://doi.org/10.1115/1.4038327
Published Online: November 16, 2017
View Article titled, Shooting and Arc-Length Continuation Method for Periodic Solution and Bifurcation of Nonlinear Oscillation of Viscoelastic Dielectric Elastomers
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Topics: Bifurcation, Dynamics (Mechanics), Elastomers, Oscillations, Springs, Vibration, Excitation, Resonance, Energy dissipation, Nonlinear dynamics
Journal Articles

Passive Suppression Mechanisms in Laminar Vortex-Induced Vibration of a Sprung Cylinder With a Strongly Nonlinear, Dissipative Oscillator

Antoine Blanchard, Lawrence A. Bergman, Alexander F. Vakakis
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. August 2017, 84(8): 081003.
Paper No: JAM-17-1120
https://doi.org/10.1115/1.4036942
Published Online: June 14, 2017
View Article titled, Passive Suppression Mechanisms in Laminar Vortex-Induced Vibration of a Sprung Cylinder With a Strongly Nonlinear, Dissipative Oscillator
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Topics: Cylinders, Dynamics (Mechanics), Equilibrium (Physics), Flow (Dynamics), Oscillations, Vortex-induced vibration, Bifurcation, Computation, Limit cycles, Relaxation (Physics)
Journal Articles

Nonlinear Buckling Interaction for Spherical Shells Subject to Pressure and Probing Forces

John W. Hutchinson, J. Michael T. Thompson
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. June 2017, 84(6): 061001.
Paper No: JAM-17-1135
https://doi.org/10.1115/1.4036355
Published Online: April 12, 2017
View Article titled, Nonlinear Buckling Interaction for Spherical Shells Subject to Pressure and Probing Forces
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Topics: Buckling, External pressure, Poles (Building), Pressure, Probes, Shells, Spherical shells, Deflection, Bifurcation
Journal Articles

Revisiting the Instability and Bifurcation Behavior of Soft Dielectrics

Shengyou Yang, Xuanhe Zhao, Pradeep Sharma
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. March 2017, 84(3): 031008.
Paper No: JAM-16-1595
https://doi.org/10.1115/1.4035499
Published Online: January 24, 2017
View Article titled, Revisiting the Instability and Bifurcation Behavior of Soft Dielectrics
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Topics: Bifurcation, Boundary-value problems, Buckling, Deformation, Electric fields, Polarization (Electricity), Polarization (Light), Polarization (Waves), Stress, Dielectric materials
Journal Articles

Mechanical Instabilities in Perfect Crystals: From Dislocation Nucleation to Bucklinglike Modes

Akanksha Garg, Craig E. Maloney
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. December 2016, 83(12): 121006.
Paper No: JAM-16-1357
https://doi.org/10.1115/1.4034564
Published Online: September 14, 2016
View Article titled, Mechanical Instabilities in Perfect Crystals: From Dislocation Nucleation to Bucklinglike Modes
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Topics: Buckling, Crystals, Dipoles (Electromagnetism), Dislocations, Nucleation (Physics), Bifurcation
Journal Articles

The Primary Bilayer Ruga-Phase Diagram II: Irreversibility in Ruga Evolution

R. Zhao, M. Diab, K.-S. Kim
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. September 2016, 83(9): 091004.
Paper No: JAM-16-1229
https://doi.org/10.1115/1.4033722
Published Online: June 27, 2016
View Article titled, The Primary Bilayer Ruga-Phase Diagram II: Irreversibility in Ruga Evolution
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Topics: Cycles, Viscosity, Bifurcation, Finite element methods, Stiffness, Simulation, Stability