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Journal Articles

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

Yanghao Fang, Tsampikos Kottos, Ramathasan Thevamaran

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

Paper No: JAM-22-1225

DOI: https://doi.org/10.1115/1.4055618

Published Online: October 6, 2022

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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

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

Paper No: JAM-22-1218

DOI: https://doi.org/10.1115/1.4055305

Published Online: September 27, 2022

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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

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

Paper No: JAM-21-1350

DOI: https://doi.org/10.1115/1.4052830

Published Online: November 16, 2021

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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

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

DOI: https://doi.org/10.1115/1.4011990

Published Online: June 23, 2021

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

Journal Articles

On the Bounds of Eigenvalues of a Clamped Plate in Tension

R. K. Kaul, S. G. Tewari

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

DOI: https://doi.org/10.1115/1.4011687

Published Online: June 16, 2021

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

Journal Articles

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

K. A. Foss

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

DOI: https://doi.org/10.1115/1.4011828

Published Online: June 16, 2021

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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

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

DOI: https://doi.org/10.1115/1.4011873

Published Online: June 16, 2021

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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

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

DOI: https://doi.org/10.1115/1.4011872

Published Online: June 16, 2021

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

Journal Articles

Saint Venant’s Principle: A Biharmonic Eigenvalue Problem

G. Horvay

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

DOI: https://doi.org/10.1115/1.4011550

Published Online: June 10, 2021

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

Journal Articles

The End Problem of Rectangular Strips

G. Horvay

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

DOI: https://doi.org/10.1115/1.4010599

Published Online: June 4, 2021

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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

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

Paper No: JAM-20-1243

DOI: https://doi.org/10.1115/1.4048315

Published Online: October 23, 2020

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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

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

Paper No: JAM-20-1219

DOI: https://doi.org/10.1115/1.4047421

Published Online: July 8, 2020

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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

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

Paper No: JAM-18-1612

DOI: https://doi.org/10.1115/1.4042217

Published Online: January 8, 2019

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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

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

Paper No: JAM-18-1515

DOI: https://doi.org/10.1115/1.4042011

Published Online: December 3, 2018

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

Journal Articles

Stability of Gyroscopic Circulatory Systems

Firdaus E. Udwadia

J. Appl. Mech. February 2019, 86(2): 021002.

Paper No: JAM-18-1495

DOI: https://doi.org/10.1115/1.4041825

Published Online: November 16, 2018

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Topics: Cardiovascular system, Eigenvalues, Stability, Theorems (Mathematics), Vibration, Dynamic systems

Journal Articles

Symplectic Analysis of Wrinkles in Elastic Layers With Graded Stiffnesses

Jianjun Sui, Junbo Chen, Xiaoxiao Zhang, Guohua Nie, Teng Zhang

J. Appl. Mech. January 2019, 86(1): 011008.

Paper No: JAM-18-1467

DOI: https://doi.org/10.1115/1.4041620

Published Online: October 18, 2018

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Topics: Boundary-value problems, Displacement, Eigenfunctions, Eigenvalues, Simulation, Wavelength, Elasticity, Numerical analysis

Includes: Supplementary data

Journal Articles

Asymptotic Stress Fields for Complete Contact Between Dissimilar Materials

Kisik Hong, M. D. Thouless, Wei Lu, J. R. Barber

J. Appl. Mech. January 2019, 86(1): 011009.

Paper No: JAM-18-1488

DOI: https://doi.org/10.1115/1.4041618

Published Online: October 18, 2018

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Topics: Corners (Structural elements), Eigenvalues, Friction, Stress, Traction

Journal Articles

Multiparameter Spectral Analysis for Aeroelastic Instability Problems

Arion Pons, Stefanie Gutschmidt

J. Appl. Mech. June 2018, 85(6): 061011.

Paper No: JAM-17-1661

DOI: https://doi.org/10.1115/1.4039671

Published Online: April 5, 2018

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Topics: Damping, Eigenvalues, Flutter (Aerodynamics), Polynomials, Stability

Journal Articles

Proper Orthogonal Decomposition Framework for the Explicit Solution of Discrete Systems With Softening Response

Chiara Ceccato, Xinwei Zhou, Daniele Pelessone, Gianluca Cusatis

J. Appl. Mech. May 2018, 85(5): 051004.

Paper No: JAM-17-1655

DOI: https://doi.org/10.1115/1.4038967

Published Online: March 7, 2018

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Topics: Algorithms, Approximation, Compression, Displacement, Fracture (Materials), Particulate matter, Principal component analysis, Simulation, Stress, Tension

Journal Articles

The Inverse Problem of Linear Lagrangian Dynamics

Rubens Goncalves Salsa, Jr., Daniel T. Kawano, Fai Ma, George Leitmann

J. Appl. Mech. March 2018, 85(3): 031002.

Paper No: JAM-17-1539

DOI: https://doi.org/10.1115/1.4038749

Published Online: January 4, 2018

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Topics: Dynamics (Mechanics), Eigenvalues, Equations of motion, Inverse problems, Linear systems, Modal analysis, Scalar functions

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Supplemental Material

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

On the Bounds of Eigenvalues of a Clamped Plate in Tension

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

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

Stability of Gyroscopic Circulatory Systems

Symplectic Analysis of Wrinkles in Elastic Layers With Graded Stiffnesses

Asymptotic Stress Fields for Complete Contact Between Dissimilar Materials

Multiparameter Spectral Analysis for Aeroelastic Instability Problems

Proper Orthogonal Decomposition Framework for the Explicit Solution of Discrete Systems With Softening Response

The Inverse Problem of Linear Lagrangian Dynamics

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