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Journal Articles

Deflections of Circular Beams Resting on Elastic Foundations Obtained by Methods of Harmonic Analysis

Enrico Volterra
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1953, 20(2): 227–232.
https://doi.org/10.1115/1.4010653
Published Online: June 4, 2021
View Article titled, Deflections of Circular Beams Resting on Elastic Foundations Obtained by Methods of Harmonic Analysis
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Topics: Deflection, Stress, Fourier series
Journal Articles

Some Problems of Orthotropic Plane Stress

H. D. Conway
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 1953, 20(1): 72–76.
https://doi.org/10.1115/1.4010596
Published Online: June 4, 2021
View Article titled, Some Problems of Orthotropic Plane Stress
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Topics: Stress, Wedges, Elasticity, Fourier series, Tangential loading
Journal Articles

Free and Forced Vibrations of an Infinitely Long Cylindrical Shell in an Infinite Acoustic Medium

H. H. Bleich, M. L. Baron
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1954, 21(2): 167–177.
https://doi.org/10.1115/1.4010860
Published Online: June 4, 2021
View Article titled, Free and Forced Vibrations of an Infinitely Long Cylindrical Shell in an Infinite Acoustic Medium
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Topics: Acoustics, Pipes, Vibration, Shells, Free vibrations, Computation, Fourier series, Pressure, Radiation (Physics), Resonance
Journal Articles

A Fourier Integral Solution for the Plane-Stress Problem of a Circular Ring With Concentrated Radial Loads

Carl W. Nelson
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1951, 18(2): 173–182.
https://doi.org/10.1115/1.4010272
Published Online: April 7, 2021
View Article titled, A Fourier Integral Solution for the Plane-Stress Problem of a Circular Ring With Concentrated Radial Loads
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Topics: Stress, Equilibrium (Physics), Fourier series
Journal Articles

Approximate Solutions for Symmetrically Loaded Thick-Walled Cylinders

C. W. MacGregor, L. F. Coffin, Jr.
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1947, 14(4): A301–A311.
https://doi.org/10.1115/1.4009738
Published Online: March 11, 2021
View Article titled, Approximate Solutions for Symmetrically Loaded Thick-Walled Cylinders
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Topics: Cylinders, Pressure, Stress, Computation, Fourier series, Symmetry (Physics)
Journal Articles

An Improved Fourier–Ritz Method for Analyzing In-Plane Free Vibration of Sectorial Plates

Siyuan Bao, Shuodao Wang, Bo Wang
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. September 2017, 84(9): 091001.
Paper No: JAM-17-1136
https://doi.org/10.1115/1.4037030
Published Online: July 7, 2017
View Article titled, An Improved Fourier–Ritz Method for Analyzing In-Plane Free Vibration of Sectorial Plates
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Topics: Boundary-value problems, Plates (structures), Springs, Stiffness, Vibration, Displacement, Free vibrations, Fourier series
Journal Articles

Free Vibration Analysis of a Circular Plate With Multiple Circular Holes by Using Indirect BIEM and Addition Theorem

W. M. Lee, J. T. Chen
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. January 2011, 78(1): 011015.
https://doi.org/10.1115/1.4001993
Published Online: October 22, 2010
View Article titled, Free Vibration Analysis of a Circular Plate With Multiple Circular Holes by Using Indirect BIEM and Addition Theorem
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Topics: Boundary-value problems, Fourier series, Free vibrations, Theorems (Mathematics), Finite element methods, Integral equations, Shear (Mechanics), Algebra, Displacement, Plates (structures)
Journal Articles

Null-Field Approach for the Multi-inclusion Problem Under Antiplane Shears

Jeng-Tzong Chen, An-Chien Wu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. May 2007, 74(3): 469–487.
https://doi.org/10.1115/1.2338056
Published Online: May 22, 2006
View Article titled, Null-Field Approach for the Multi-inclusion Problem Under Antiplane Shears
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Topics: Boundary element methods, Fourier series, Integral equations, Shear (Mechanics), Shear stress, Stress, Algebra, Stress concentration, Cavities, Boundary layers
Journal Articles

Null-Field Integral Equation Approach for Plate Problems With Circular Boundaries

Jeng-Tzong Chen, Chia-Chun Hsiao, Shyue-Yuh Leu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. July 2006, 73(4): 679–693.
https://doi.org/10.1115/1.2165239
Published Online: October 18, 2005
View Article titled, Null-Field Integral Equation Approach for Plate Problems With Circular Boundaries
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Topics: Fourier series, Integral equations, Boundary-value problems, Displacement, Shear (Mechanics)
Journal Articles

A General Solution for Two-Dimensional Stress Distributions in Thin Films

R. Krishnamurthy, D. J. Srolovitz
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. September 2004, 71(5): 691–696.
https://doi.org/10.1115/1.1782649
Published Online: November 9, 2004
View Article titled, A General Solution for Two-Dimensional Stress Distributions in Thin Films
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Topics: Stress, Thin films, Fourier series, Fast Fourier transforms
Journal Articles

A Combined Fourier Series–Galerkin Method for the Analysis of Functionally Graded Beams

H. Zhu, Graduate Student, B. V. Sankar, Professor, Fellow ASME
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Brief Notes
J. Appl. Mech. May 2004, 71(3): 421–424.
https://doi.org/10.1115/1.1751184
Published Online: June 22, 2004
View Article titled, A Combined Fourier Series–Galerkin Method for the Analysis of Functionally Graded Beams
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Topics: Fourier series, Functionally graded materials, Galerkin method, Poisson ratio, Stress, Young's modulus, Fourier analysis, Partial differential equations, Polynomials, Shear stress
Journal Articles

Response Power Spectrum of Multi-Degree-of-Freedom Nonlinear Systems by a Galerkin Technique

G. Failla, Doctor of Philosophy,, P. D. Spanos, Fellow, ASME, M. Di Paola, Professor,
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. September 2003, 70(5): 708–714.
https://doi.org/10.1115/1.1599916
Published Online: October 10, 2003
View Article titled, Response Power Spectrum of Multi-Degree-of-Freedom Nonlinear Systems by a Galerkin Technique
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Topics: Computer simulation, Damping, Fourier series, Newton's method, Nonlinear systems, Polynomials, Spectral energy distribution, Jacobian matrices, Flow (Dynamics), Reliability
Journal Articles

General Solution for Mechanical and Thermal Stresses in a Functionally Graded Hollow Cylinder due to Nonaxisymmetric Steady-State Loads

M. Jabbari, S. Sohrabpour, Professor,, M. R. Eslami, Professor, Fellow ASME,
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Additional Technical Papers
J. Appl. Mech. January 2003, 70(1): 111–118.
https://doi.org/10.1115/1.1509484
Published Online: January 23, 2003
View Article titled, General Solution for Mechanical and Thermal Stresses in a Functionally Graded Hollow Cylinder due to Nonaxisymmetric Steady-State Loads
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Topics: Cylinders, Functionally graded materials, Heat conduction, Stress, Thermal stresses, Temperature distribution, Steady state, Boundary-value problems, Fourier series, Poisson ratio
Journal Articles

A Simplified Method to Predict the Steady Cyclic Stress State of Creeping Structures

K. V. Spiliopoulos, Associate Professor,
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. March 2002, 69(2): 148–153.
https://doi.org/10.1115/1.1430234
Published Online: August 6, 2001
View Article titled, A Simplified Method to Predict the Steady Cyclic Stress State of Creeping Structures
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Topics: Cycles, Stress, Creep, Fourier series, Finite element analysis
Journal Articles

Discussion: “Combinations for the Free-Vibration Behavior of Anisotropic Rectangular Plates Under General Edge Conditions” (Narita, Y., 2000, ASME J. Appl. Mech., 67 , pp. 568–573)

C. W. Bert, Life Fellow ASME , Perkinson Chair Professor
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Discussions
J. Appl. Mech. July 2001, 68(4): 685.
https://doi.org/10.1115/1.1382598
Published Online: July 1, 2001
View Article titled, Discussion: “Combinations for the Free-Vibration Behavior of Anisotropic Rectangular Plates Under General Edge Conditions” (Narita, Y., 2000, ASME J. Appl. Mech., 67 , pp. 568–573)
Open the PDF for Discussion: “Combinations for the Free-Vibration Behavior of Anisotropic Rectangular Plates Under General Edge Conditions” (Narita, Y., 2000, ASME J. Appl. Mech., 67 , pp. 568–573) in another window
Topics: Anisotropy, Free vibrations, Plates (structures), Fourier series, Vibration
Journal Articles

On Perturbation Solutions for Nearly Circular Inclusion Problems in Plane Thermoelasticity

C.-H. Wang, Graduate Student, C.-K. Chao, Professor
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. January 2002, 69(1): 36–44.
https://doi.org/10.1115/1.1410367
Published Online: June 5, 2001
View Article titled, On Perturbation Solutions for Nearly Circular Inclusion Problems in Plane Thermoelasticity
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Topics: Shapes, Stress, Temperature, Thermoelasticity, Fourier series, Thermal stresses, Heat flux
Journal Articles

Self-Excited Vibration in Flexible Rotating Disks Subjected to Various Transverse Interactive Forces: A General Approach

J. Tian, S. G. Hutton
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. September 1999, 66(3): 800–805.
https://doi.org/10.1115/1.2791758
Published Online: September 1, 1999
View Article titled, Self-Excited Vibration in Flexible Rotating Disks Subjected to Various Transverse Interactive Forces: A General Approach
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Topics: Fundamental forces (Physics), Rotating disks, Vibration, Algorithms, Blades, Cutting, Disks, Dynamic systems, Fourier series, Stability
Journal Articles

On the General Solutions for Annular Problems With a Point Heat Source

C. K. Chao, Professor, C. J. Tan, Graduate Student
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. September 2000, 67(3): 511–518.
https://doi.org/10.1115/1.1312804
Published Online: January 29, 1999
View Article titled, On the General Solutions for Annular Problems With a Point Heat Source
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Topics: Annulus, Boundary-value problems, Displacement, Fourier series, Heat, Stress, Temperature, Temperature distribution, Thermal stresses
Journal Articles

Parametric Resonance of a Spinning Disk Under Space-Fixed Pulsating Edge Loads

Jen-San Chen
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. March 1997, 64(1): 139–143.
https://doi.org/10.1115/1.2787264
Published Online: March 1, 1997
View Article titled, Parametric Resonance of a Spinning Disk Under Space-Fixed Pulsating Edge Loads
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Topics: Resonance, Rotating disks, Stress, Eigenfunctions, Fourier series, Partial differential equations, Waves
Journal Articles

Analytical Expressions for the Relaxation Moduli of Linear Viscoelastic Composites With Periodic Microstructure

R. Luciano, E. J. Barbero
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. September 1995, 62(3): 786–793.
https://doi.org/10.1115/1.2897015
Published Online: September 1, 1995
View Article titled, Analytical Expressions for the Relaxation Moduli of Linear Viscoelastic Composites With Periodic Microstructure
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Topics: Composite materials, Relaxation (Physics), Fibers, Laplace transforms, Viscoelasticity, Creep, Fourier series, Geometry