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Journal Articles

Evaluating a Stochastic Singularity Level in a V-Notch Isotropic Domain Due to Randomness in Material Properties

Netta Omer

Publisher: ASME

J. Appl. Mech. November 2024, 91(11): 111009.

Paper No: JAM-24-1189

https://doi.org/10.1115/1.4066215

Published Online: September 10, 2024

View Article titled, Evaluating a Stochastic Singularity Level in a V-Notch Isotropic Domain Due to Randomness in Material Properties

Topics: Approximation, Chaos, Eigenvalues, Materials properties, Polynomials, Boundary-value problems, Monte Carlo methods, Poisson ratio

Journal Articles

Closed-Form Solutions to Continuous-Time Algebraic Riccati Equation for Second-Order Systems

Vishvendra Rustagi, Cornel Sultan

Publisher: ASME

J. Appl. Mech. June 2024, 91(6): 061010.

Paper No: JAM-23-1491

https://doi.org/10.1115/1.4065057

Published Online: March 29, 2024

View Article titled, Closed-Form Solutions to Continuous-Time Algebraic Riccati Equation for Second-Order Systems

Topics: Algebra, Computation, Damping, Design, Dynamics (Mechanics), Eigenvalues, Space frame structures, Vibration control, Scalars, Stiffness

Journal Articles

Uncoupling of Linear Multi-Degree-of-Freedom Damped Gyroscopic Potential Systems

Firdaus E. Udwadia, Ranislav M. Bulatovic

Publisher: ASME

J. Appl. Mech. April 2024, 91(4): 041007.

Paper No: JAM-23-1425

https://doi.org/10.1115/1.4064127

Published Online: December 15, 2023

View Article titled, Uncoupling of Linear Multi-Degree-of-Freedom Damped Gyroscopic Potential Systems

Topics: Damping, Degrees of freedom, Eigenvalues, Stiffness, Aerospace engineering

Journal Articles

Decomposition and Uncoupling of Multi-Degree-of-Freedom Gyroscopic Conservative Systems

Ranislav M. Bulatovic, Firdaus E. Udwadia

Publisher: ASME

J. Appl. Mech. March 2024, 91(3): 031003.

Paper No: JAM-23-1297

https://doi.org/10.1115/1.4063504

Published Online: October 31, 2023

View Article titled, Decomposition and Uncoupling of Multi-Degree-of-Freedom Gyroscopic Conservative Systems

Topics: Dynamic systems, Eigenvalues, Stiffness, Vibration, System dynamics

Journal Articles

Analytical Solution for the Bending Problem of Micropolar Plates Based on the Symplectic Approach

Qiong Wu, Long Chen, Qiang Gao

Publisher: ASME

J. Appl. Mech. February 2024, 91(2): 021009.

Paper No: JAM-23-1289

https://doi.org/10.1115/1.4063398

Published Online: October 16, 2023

View Article titled, Analytical Solution for the Bending Problem of Micropolar Plates Based on the Symplectic Approach

Topics: Boundary-value problems, Eigenvalues, Plates (structures)

Journal Articles

Reduced Order Modeling of Dynamic Mechanical Metamaterials for Analysis of Infinite and Finite Systems

Weidi Wang, Alireza V. Amirkhizi

Publisher: ASME

J. Appl. Mech. September 2023, 90(9): 091009.

Paper No: JAM-23-1182

https://doi.org/10.1115/1.4062888

Published Online: July 27, 2023

View Article titled, Reduced Order Modeling of Dynamic Mechanical Metamaterials for Analysis of Infinite and Finite Systems

Topics: Computation, Design, Dynamics (Mechanics), Finite element methods, Finite element model, Inertia (Mechanics), Metamaterials, Mode shapes, Modeling, Optimization

Journal Articles

Emergence of Exceptional Points in Periodic Metastructures With Hidden Parity-Time Symmetric Defects

Yanghao Fang, Tsampikos Kottos, Ramathasan Thevamaran

Publisher: ASME

J. Appl. Mech. December 2022, 89(12): 121003.

Paper No: JAM-22-1225

https://doi.org/10.1115/1.4055618

Published Online: October 6, 2022

View Article titled, Emergence of Exceptional Points in Periodic Metastructures With Hidden Parity-Time Symmetric Defects

Topics: Density, Eigenvalues, Elastodynamics, Expandable polystyrene, Finite element analysis, Parity (Physics), Spectra (Spectroscopy), Dynamics (Mechanics), Displacement, Computational mechanics

Includes: Supplementary data

Journal Articles

Stability of Multidegree of Freedom Potential Systems to General Infinitesimal Positional Perturbation Forces

Firdaus E. Udwadia, Ranislav M. Bulatovic

Publisher: ASME

J. Appl. Mech. November 2022, 89(11): 111004.

Paper No: JAM-22-1218

https://doi.org/10.1115/1.4055305

Published Online: September 27, 2022

View Article titled, Stability of Multidegree of Freedom Potential Systems to General Infinitesimal Positional Perturbation Forces

Topics: Eigenvalues, Stability, Flutter (Aerodynamics), Vibration

Journal Articles

Arbitrary-Order Sensitivity Analysis in Phononic Metamaterials Using the Multicomplex Taylor Series Expansion Method Coupled With Bloch’s Theorem

Juan David Navarro, Harry R. Millwater, Arturo Montoya, David Restrepo

Publisher: ASME

J. Appl. Mech. February 2022, 89(2): 021007.

Paper No: JAM-21-1350

https://doi.org/10.1115/1.4052830

Published Online: November 16, 2021

View Article titled, Arbitrary-Order Sensitivity Analysis in Phononic Metamaterials Using the Multicomplex Taylor Series Expansion Method Coupled With Bloch’s Theorem

Topics: Eigenvalues, Metamaterials, Sensitivity analysis, Theorems (Mathematics), Wave propagation, Errors, Dispersion relations, Stiffness, Algebra

Includes: Supplementary data

Journal Articles

Upper and Lower Bounds for Special Eigenvalues

F. C. Appl, C. F. Zorowski

Publisher: ASME

J. Appl. Mech. June 1959, 26(2): 246–250.

https://doi.org/10.1115/1.4011990

Published Online: June 23, 2021

View Article titled, Upper and Lower Bounds for Special Eigenvalues

Topics: Eigenvalues, Buckling, Eigenfunctions, Stress, Theorems (Mathematics)

Journal Articles

Co-Ordinates Which Uncouple the Equations of Motion of Damped Linear Dynamic Systems

K. A. Foss

Publisher: ASME

J. Appl. Mech. September 1958, 25(3): 361–364.

https://doi.org/10.1115/1.4011828

Published Online: June 16, 2021

View Article titled, Co-Ordinates Which Uncouple the Equations of Motion of Damped Linear Dynamic Systems

Topics: Damped linear dynamic systems, Equations of motion, Transients (Dynamics), Damping, Eigenvalues, Stress

Journal Articles

The End Problem of Cylinders

G. Horvay, J. A. Mirabal

Publisher: ASME

J. Appl. Mech. December 1958, 25(4): 561–570.

https://doi.org/10.1115/1.4011873

Published Online: June 16, 2021

View Article titled, The End Problem of Cylinders

Topics: Cylinders, Stress, Eigenvalues, Polynomials, Shear (Mechanics), Approximation, Equilibrium (Physics)

Journal Articles

Axially Symmetric Buckling of Shallow Spherical Shells Under External Pressure

Edward L. Reiss

Publisher: ASME

J. Appl. Mech. December 1958, 25(4): 556–560.

https://doi.org/10.1115/1.4011872

Published Online: June 16, 2021

View Article titled, Axially Symmetric Buckling of Shallow Spherical Shells Under External Pressure

Topics: Buckling, External pressure, Shallow spherical shells, Stress, Eigenvalues, Elasticity

Journal Articles

On the Bounds of Eigenvalues of a Clamped Plate in Tension

R. K. Kaul, S. G. Tewari

Publisher: ASME

J. Appl. Mech. March 1958, 25(1): 52–56.

https://doi.org/10.1115/1.4011687

Published Online: June 16, 2021

View Article titled, On the Bounds of Eigenvalues of a Clamped Plate in Tension

Topics: Eigenvalues, Tension, Computation, Mode shapes, Oscillations, Theorems (Mathematics), Variational techniques

Journal Articles

Saint Venant’s Principle: A Biharmonic Eigenvalue Problem

G. Horvay

Publisher: ASME

J. Appl. Mech. September 1957, 24(3): 381–386.

https://doi.org/10.1115/1.4011550

Published Online: June 10, 2021

View Article titled, Saint Venant’s Principle: A Biharmonic Eigenvalue Problem

Topics: Eigenvalues, Saint-Venant's principle, Wedges, Shear (Mechanics), Stress, Structural design, Symmetry (Physics)

Journal Articles

The End Problem of Rectangular Strips

G. Horvay

Publisher: ASME

J. Appl. Mech. March 1953, 20(1): 87–94.

https://doi.org/10.1115/1.4010599

Published Online: June 4, 2021

View Article titled, The End Problem of Rectangular Strips

Topics: Strips, Approximation, Stress, Eigenfunctions, Eigenvalues, Fibers, Polynomials, Shapes, Thrust, Traction

Journal Articles

On the Generalization of Merkin’s Theorem for Circulatory Systems: A Rank Criterion

Ranislav M. Bulatovic, Firdaus E. Udwadia

Publisher: ASME

J. Appl. Mech. January 2021, 88(1): 011006.

Paper No: JAM-20-1243

https://doi.org/10.1115/1.4048315

Published Online: October 23, 2020

View Article titled, On the Generalization of Merkin’s Theorem for Circulatory Systems: A Rank Criterion

Topics: Equilibrium (Physics), Theorems (Mathematics), Cardiovascular system, Eigenvalues, Stability

Journal Articles

An Old Problem Reconsidered: The Wahl–Fischer Torsional Instability Problem

E. F. Infante, S. Doughty

Publisher: ASME

J. Appl. Mech. October 2020, 87(10): 101004.

Paper No: JAM-20-1219

https://doi.org/10.1115/1.4047421

Published Online: July 8, 2020

View Article titled, An Old Problem Reconsidered: The Wahl–Fischer Torsional Instability Problem

Topics: Degrees of freedom, Motors, Oscillations, Torque, Differential equations, Engines, Eigenvalues, Computer simulation, Electromagnetic induction

Journal Articles

Closed-Form Coordinate-Free Decompositions of the Two-Dimensional Strain and Stress for Modeling Tension–Compression Dissymmetry

Q.-C. He, Q. Shao

Publisher: ASME

J. Appl. Mech. March 2019, 86(3): 031007.

Paper No: JAM-18-1612

https://doi.org/10.1115/1.4042217

Published Online: January 8, 2019

View Article titled, Closed-Form Coordinate-Free Decompositions of the Two-Dimensional Strain and Stress for Modeling Tension–Compression Dissymmetry

Topics: Anisotropy, Compression, Modeling, Stress, Tension, Tensors, Stiffness, Eigenvalues

Journal Articles

Broadband Vibration Isolation for Rods and Beams Using Periodic Structure Theory

Rajan Prasad, Abhijit Sarkar

Publisher: ASME

J. Appl. Mech. February 2019, 86(2): 021004.

Paper No: JAM-18-1515

https://doi.org/10.1115/1.4042011

Published Online: December 3, 2018

View Article titled, Broadband Vibration Isolation for Rods and Beams Using Periodic Structure Theory

Topics: Eigenvalues, Periodic structures, Stiffness, Vibration isolation, Electromagnetic spectrum, Inertia (Mechanics), Rods, Excitation

Journal citation

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Supplemental Material

Evaluating a Stochastic Singularity Level in a V-Notch Isotropic Domain Due to Randomness in Material Properties

Closed-Form Solutions to Continuous-Time Algebraic Riccati Equation for Second-Order Systems

Uncoupling of Linear Multi-Degree-of-Freedom Damped Gyroscopic Potential Systems

Decomposition and Uncoupling of Multi-Degree-of-Freedom Gyroscopic Conservative Systems

Analytical Solution for the Bending Problem of Micropolar Plates Based on the Symplectic Approach

Reduced Order Modeling of Dynamic Mechanical Metamaterials for Analysis of Infinite and Finite Systems

Emergence of Exceptional Points in Periodic Metastructures With Hidden Parity-Time Symmetric Defects

Stability of Multidegree of Freedom Potential Systems to General Infinitesimal Positional Perturbation Forces

Arbitrary-Order Sensitivity Analysis in Phononic Metamaterials Using the Multicomplex Taylor Series Expansion Method Coupled With Bloch’s Theorem

Upper and Lower Bounds for Special Eigenvalues

Co-Ordinates Which Uncouple the Equations of Motion of Damped Linear Dynamic Systems

The End Problem of Cylinders

Axially Symmetric Buckling of Shallow Spherical Shells Under External Pressure

On the Bounds of Eigenvalues of a Clamped Plate in Tension

Saint Venant’s Principle: A Biharmonic Eigenvalue Problem

The End Problem of Rectangular Strips

On the Generalization of Merkin’s Theorem for Circulatory Systems: A Rank Criterion

An Old Problem Reconsidered: The Wahl–Fischer Torsional Instability Problem

Closed-Form Coordinate-Free Decompositions of the Two-Dimensional Strain and Stress for Modeling Tension–Compression Dissymmetry

Broadband Vibration Isolation for Rods and Beams Using Periodic Structure Theory

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