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Journal Articles

Beams With a Varying Cross Section in the Generalized Strain Formulation for Flexure Modeling

Koen Dwarshuis, Ronald Aarts, Marcel Ellenbroek, Dannis Brouwer

J. Comput. Nonlinear Dynam. March 2023, 18(3): 031002.

Paper No: CND-22-1204

DOI: https://doi.org/10.1115/1.4056482

Published Online: January 11, 2023

View Article titled, Beams With a Varying Cross Section in the Generalized Strain Formulation for Flexure Modeling

Topics: Bending (Stress), Deformation, Stiffness, Stress, Torsion, Warping, Design, Mode shapes, Modeling, Rotation

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

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

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

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

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

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

Multi-Objective Model Updating Optimization Considering Orthogonality

Braden T. Warwick, Il Yong Kim, Chris K. Mechefske

J. Comput. Nonlinear Dynam. June 2019, 14(6): 061009.

Paper No: CND-18-1525

DOI: https://doi.org/10.1115/1.4043086

Published Online: April 8, 2019

View Article titled, Multi-Objective Model Updating Optimization Considering Orthogonality

Topics: Degrees of freedom, Errors, Mode shapes, Optimization, Pareto optimization, Algorithms, Modal assurance criterion, Finite element model, Stiffness, Design

Journal Articles

Reference Conditions and Substructuring Techniques in Flexible Multibody System Dynamics

James J. O'Shea, Paramsothy Jayakumar, Dave Mechergui, Ahmed A. Shabana, Liang Wang

J. Comput. Nonlinear Dynam. April 2018, 13(4): 041007.

Paper No: CND-17-1136

DOI: https://doi.org/10.1115/1.4039059

Published Online: February 28, 2018

View Article titled, Reference Conditions and Substructuring Techniques in Flexible Multibody System Dynamics

Topics: Deformation, Degrees of freedom, Dynamics (Mechanics), Multibody systems, Shapes, Boundary-value problems, Resonance, Finite element analysis, Eigenvalues, Simulation

Journal Articles

Nonlinear System Identification Technique for a Base-Excited Structure Based on Modal Space Formulation

Sushil Doranga, Christine Q. Wu

J. Comput. Nonlinear Dynam. November 2016, 11(6): 061016.

Paper No: CND-15-1220

DOI: https://doi.org/10.1115/1.4034394

Published Online: August 22, 2016

View Article titled, Nonlinear System Identification Technique for a Base-Excited Structure Based on Modal Space Formulation

Topics: Displacement, Excitation, Nonlinear systems, Stiffness, Mode shapes

Journal Articles

Generalized Component Mode Synthesis for the Spatial Motion of Flexible Bodies With Large Rotations About One Axis

Pascal Ziegler, Alexander Humer, Astrid Pechstein, Johannes Gerstmayr

J. Comput. Nonlinear Dynam. July 2016, 11(4): 041018.

Paper No: CND-15-1145

DOI: https://doi.org/10.1115/1.4032160

Published Online: May 12, 2016

View Article titled, Generalized Component Mode Synthesis for the Spatial Motion of Flexible Bodies With Large Rotations About One Axis

Topics: Deformation, Degrees of freedom, Displacement, Equations of motion, Mode shapes, Rotation, Shapes, Stiffness, Finite element analysis, Multibody systems

Journal Articles

A New Singularity-Free Formulation of a Three-Dimensional Euler–Bernoulli Beam Using Euler Parameters

W. Fan, W. D. Zhu, H. Ren

J. Comput. Nonlinear Dynam. July 2016, 11(4): 041013.

Paper No: CND-15-1217

DOI: https://doi.org/10.1115/1.4031769

Published Online: January 4, 2016

View Article titled, A New Singularity-Free Formulation of a Three-Dimensional Euler–Bernoulli Beam Using Euler Parameters

Topics: Cantilever beams, Deformation, Equilibrium (Physics), Kinematics, Mode shapes, Stiffness, Interpolation, Finite element methods

Journal Articles

A Simple Absolute Nodal Coordinate Formulation for Thin Beams With Large Deformations and Large Rotations

Hui Ren

J. Comput. Nonlinear Dynam. November 2015, 10(6): 061005.

Paper No: CND-14-1095

DOI: https://doi.org/10.1115/1.4028610

Published Online: November 1, 2015

View Article titled, A Simple Absolute Nodal Coordinate Formulation for Thin Beams With Large Deformations and Large Rotations

Topics: Cantilever beams, Cross section (Physics), Deformation, Rotation, Tensors, Dynamics (Mechanics), Shapes, Mode shapes, Potential energy, Polynomials

Journal Articles

Characteristic Equation-Based Dynamic Analysis of a Three-Revolute Prismatic Spherical Parallel Kinematic Machine

Jun Zhang, Jian S. Dai, Tian Huang

J. Comput. Nonlinear Dynam. March 2015, 10(2): 021017.

Paper No: CND-14-1002

DOI: https://doi.org/10.1115/1.4028416

Published Online: March 1, 2015

View Article titled, Characteristic Equation-Based Dynamic Analysis of a Three-Revolute Prismatic Spherical Parallel Kinematic Machine

Topics: Eigenvalues, Kinematics, Reactor protection systems, Screws, Stiffness, Mode shapes, Jacobian matrices, Parallel mechanisms, Machinery, Deflection

Journal Articles

Vibration Analysis of Postbuckled Timoshenko Beams Using a Numerical Solution Methodology

M. Faghih Shojaei, R. Ansari, V. Mohammadi, H. Rouhi

J. Comput. Nonlinear Dynam. April 2014, 9(2): 021008.

Paper No: CND-12-1183

DOI: https://doi.org/10.1115/1.4025473

Published Online: October 30, 2013

View Article titled, Vibration Analysis of Postbuckled Timoshenko Beams Using a Numerical Solution Methodology

Topics: Boundary-value problems, Buckling, Free vibrations, Stress, Vibration, Vibration analysis, Mode shapes, Eigenvalues

Journal Articles

A Generalized Component Mode Synthesis Approach for Flexible Multibody Systems With a Constant Mass Matrix

Astrid Pechstein, Daniel Reischl, Johannes Gerstmayr

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011019.

Paper No: CND-12-1025

DOI: https://doi.org/10.1115/1.4007191

Published Online: August 31, 2012

View Article titled, A Generalized Component Mode Synthesis Approach for Flexible Multibody Systems With a Constant Mass Matrix

Topics: Deformation, Degrees of freedom, Displacement, Equations of motion, Multibody systems, Rotation, Shapes, Tensors, Stiffness, Mode shapes

Journal Articles

An Efficient Reduced-Order Model to Investigate the Behavior of an Imperfect Microbeam Under Axial Load and Electric Excitation

Laura Ruzziconi, Mohammad I. Younis, Stefano Lenci

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011014.

Paper No: CND-11-1217

DOI: https://doi.org/10.1115/1.4006838

Published Online: July 23, 2012

View Article titled, An Efficient Reduced-Order Model to Investigate the Behavior of an Imperfect Microbeam Under Axial Load and Electric Excitation

Topics: Approximation, Dynamics (Mechanics), Excitation, Microbeams, Microelectromechanical systems, Shapes, Stress, Attractors, Bifurcation, Mode shapes

Journal Articles

Transformation of Arbitrary Elastic Mode Shapes Into Pseudo-Free-Surface and Rigid Body Modes for Multibody Dynamic Systems

Karim Sherif, Hans Irschik, Wolfgang Witteveen

J. Comput. Nonlinear Dynam. April 2012, 7(2): 021008.

DOI: https://doi.org/10.1115/1.4005237

Published Online: January 6, 2012

View Article titled, Transformation of Arbitrary Elastic Mode Shapes Into Pseudo-Free-Surface and Rigid Body Modes for Multibody Dynamic Systems

Topics: Deformation, Eigenvalues, Mode shapes, Shapes, Equations of motion, Multibody systems, Dynamic systems, Inertia (Mechanics)

Journal Articles

Modal Analysis of a Rotating Thin Plate via Absolute Nodal Coordinate Formulation

Jiang Zhao, Qiang Tian, Haiyan Hu

J. Comput. Nonlinear Dynam. October 2011, 6(4): 041013.

DOI: https://doi.org/10.1115/1.4003975

Published Online: May 20, 2011

View Article titled, Modal Analysis of a Rotating Thin Plate via Absolute Nodal Coordinate Formulation

Topics: Cantilevers, Eigenvalues, Modal analysis, Mode shapes, Deformation, Jacobian matrices, Plates (structures)

Journal Articles

On the Use of the Subharmonic Resonance as a Method for Filtration

Bashar K. Hammad, Ali H. Nayfeh, Eihab M. Abdel-Rahman

J. Comput. Nonlinear Dynam. October 2011, 6(4): 041007.

DOI: https://doi.org/10.1115/1.4003031

Published Online: April 12, 2011

View Article titled, On the Use of the Subharmonic Resonance as a Method for Filtration

Topics: Bifurcation, Excitation, Filters, Filtration, Resonance, Stability, Frequency response, Deflection, Mode shapes, Hardening

Journal Articles

Modeling MEMS Resonators Past Pull-In

Chandrika P. Vyasarayani, Eihab M. Abdel-Rahman, John McPhee, Stephen Birkett

J. Comput. Nonlinear Dynam. July 2011, 6(3): 031008.

DOI: https://doi.org/10.1115/1.4002835

Published Online: February 1, 2011

View Article titled, Modeling MEMS Resonators Past Pull-In

Topics: Dynamic response, Galerkin method, Microelectromechanical systems, Mode shapes, Modeling, Springs, Switches, Deflection, Electrodes, Eigenvalues

Journal Articles

Efficient Model Development for an Assembled Rotor of an Induction Motor Using a Condensed Modal Functional

Guillaume Mogenier, Thouraya N. Baranger, Régis Dufour, Lionel Durantay, Nicolas Baras

J. Comput. Nonlinear Dynam. April 2011, 6(2): 021011.

DOI: https://doi.org/10.1115/1.4002381

Published Online: October 28, 2010

View Article titled, Efficient Model Development for an Assembled Rotor of an Induction Motor Using a Condensed Modal Functional

Topics: Electromagnetic induction, Finite element model, Lamination, Motors, Optimization, Rotors, Tie rods, Mode shapes, Circuits, Magnetic cores

Journal Articles

Simulation of Squeeze-Film Damping of Microplates Actuated by Large Electrostatic Load

Mohammad I. Younis, Ali H. Nayfeh

J. Comput. Nonlinear Dynam. July 2007, 2(3): 232–241.

DOI: https://doi.org/10.1115/1.2727491

Published Online: January 7, 2007

View Article titled, Simulation of Squeeze-Film Damping of Microplates Actuated by Large Electrostatic Load

Topics: Damping, Deflection, Microplates, Pressure, Q-factor, Stress, Finite element analysis, Mode shapes

Journal citation

NARROW

Beams With a Varying Cross Section in the Generalized Strain Formulation for Flexure Modeling

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

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

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

Multi-Objective Model Updating Optimization Considering Orthogonality

Reference Conditions and Substructuring Techniques in Flexible Multibody System Dynamics

Nonlinear System Identification Technique for a Base-Excited Structure Based on Modal Space Formulation

Generalized Component Mode Synthesis for the Spatial Motion of Flexible Bodies With Large Rotations About One Axis

A New Singularity-Free Formulation of a Three-Dimensional Euler–Bernoulli Beam Using Euler Parameters

A Simple Absolute Nodal Coordinate Formulation for Thin Beams With Large Deformations and Large Rotations

Characteristic Equation-Based Dynamic Analysis of a Three-Revolute Prismatic Spherical Parallel Kinematic Machine

Vibration Analysis of Postbuckled Timoshenko Beams Using a Numerical Solution Methodology

A Generalized Component Mode Synthesis Approach for Flexible Multibody Systems With a Constant Mass Matrix

An Efficient Reduced-Order Model to Investigate the Behavior of an Imperfect Microbeam Under Axial Load and Electric Excitation

Transformation of Arbitrary Elastic Mode Shapes Into Pseudo-Free-Surface and Rigid Body Modes for Multibody Dynamic Systems

Modal Analysis of a Rotating Thin Plate via Absolute Nodal Coordinate Formulation

On the Use of the Subharmonic Resonance as a Method for Filtration

Modeling MEMS Resonators Past Pull-In

Efficient Model Development for an Assembled Rotor of an Induction Motor Using a Condensed Modal Functional

Simulation of Squeeze-Film Damping of Microplates Actuated by Large Electrostatic Load

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