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Journal Articles

Hamiltonian System-Based Symplectic Framework for Analytical Vibration Analysis of Microplates

Accepted Manuscript
Zhaoyang Hu, Rui Li
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech.
Paper No: JAM-24-1272
https://doi.org/10.1115/1.4066771
Published Online: October 3, 2024
View Article titled, Hamiltonian System-Based Symplectic Framework for Analytical Vibration Analysis of Microplates
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Topics: Microplates, Vibration, Vibration analysis, Boundary-value problems, Design, Dynamic analysis, Elasticity, Engineering systems and industry applications, Free vibrations, Optimization
Journal Articles

Highly Accurate Wavelet Solution for Bending and Free Vibration of Circular Plates Over Extra-Wide Ranges of Deflections

Xiaojing Liu, Youhe Zhou, Jizeng Wang
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 2023, 90(3): 031009.
Paper No: JAM-22-1315
https://doi.org/10.1115/1.4056397
Published Online: December 19, 2022
View Article titled, Highly Accurate Wavelet Solution for Bending and Free Vibration of Circular Plates Over Extra-Wide Ranges of Deflections
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Topics: Deflection, Free vibrations, Plates (structures), Stress, Wavelets, Interpolation, Errors, Boundary-value problems
Journal Articles

Frequencies of a Flexible Circular Plate Attached to the Surface of a Light Elastic Half-Space

G. N. Bycroft
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 1959, 26(1): 13–17.
https://doi.org/10.1115/1.4011916
Published Online: June 23, 2021
View Article titled, Frequencies of a Flexible Circular Plate Attached to the Surface of a Light Elastic Half-Space
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Topics: Elastic half space, Free vibrations
Journal Articles

The Free Vibrations of Grillages

J. P. Ellington, H. McCallion
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1959, 26(4): 603–607.
https://doi.org/10.1115/1.4012120
Published Online: June 23, 2021
View Article titled, The Free Vibrations of Grillages
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Topics: Free vibrations, Plating, Shapes, Vibration
Journal Articles

On the Natural Modes and Their Stability in Nonlinear Two-Degree-of-Freedom Systems

R. M. Rosenberg, C. P. Atkinson
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1959, 26(3): 377–385.
https://doi.org/10.1115/1.4012049
Published Online: June 23, 2021
View Article titled, On the Natural Modes and Their Stability in Nonlinear Two-Degree-of-Freedom Systems
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Topics: Stability, Free vibrations, Symmetry (Physics), Springs
Journal Articles

Coupled Vibrations of Thin-Walled Beams of Open Cross Section

J. M. Gere, Y. K. Lin
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1958, 25(3): 373–378.
https://doi.org/10.1115/1.4011830
Published Online: June 16, 2021
View Article titled, Coupled Vibrations of Thin-Walled Beams of Open Cross Section
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Topics: Vibration, Cantilevers, Free vibrations
Journal Articles

Forced Vibration of Systems With Nonlinear, Nonsymmetrical Characteristics

S. Mahalingam
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1957, 24(3): 435–439.
https://doi.org/10.1115/1.4011559
Published Online: June 10, 2021
View Article titled, Forced Vibration of Systems With Nonlinear, Nonsymmetrical Characteristics
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Topics: Vibration, Springs, Construction, Free vibrations, Linear systems, Nonlinear vibration
Journal Articles

Superharmonic Oscillations as Solutions to Duffing’s Equation as Solved by an Electronic Differential Analyzer

C. P. Atkinson
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1957, 24(4): 520–525.
https://doi.org/10.1115/1.4011594
Published Online: June 10, 2021
View Article titled, Superharmonic Oscillations as Solutions to Duffing’s Equation as Solved by an Electronic Differential Analyzer
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Topics: Oscillations, Free vibrations, Approximation, Displacement, Resonance
Journal Articles

Closure to “Discussion of ‘Tables for Frequencies and Modes of Free Vibration of Infinitely Long Thin Cylindrical Shells’” (1955, ASME J. Appl. Mech., 22, pp. 135–136)

M. L. Baron, H. H. Bleich
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Closures
J. Appl. Mech. March 1955, 22(1): 136.
https://doi.org/10.1115/1.4010990
Published Online: June 4, 2021
View Article titled, Closure to “Discussion of ‘Tables for Frequencies and Modes of Free Vibration of Infinitely Long Thin Cylindrical Shells’” (1955, ASME J. Appl. Mech., 22, pp. 135–136)
Open the PDF for Closure to “Discussion of ‘Tables for Frequencies and Modes of Free Vibration of Infinitely Long Thin Cylindrical Shells’” (1955, ASME J. Appl. Mech., 22, pp. 135–136) in another window
Topics: Free vibrations
Journal Articles

Free Vibrations of Thin Cylindrical Shells Having Finite Lengths With Freely Supported and Clamped Edges

Yi-Yuan Yu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1955, 22(4): 547–552.
https://doi.org/10.1115/1.4011152
Published Online: June 4, 2021
View Article titled, Free Vibrations of Thin Cylindrical Shells Having Finite Lengths With Freely Supported and Clamped Edges
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Topics: Free vibrations, Pipes, Approximation, Buckling, Differential equations, Vibration
Journal Articles

Closure to “Discussion of ‘Free Vibrations of Thin Cylindrical Shells Having Finite Lengths With Freely Supported and Clamped Edges’” (1956, ASME J. Appl. Mech., 23, pp. 484–485)

Yi-Yuan Yu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Closures
J. Appl. Mech. September 1956, 23(3): 485–487.
https://doi.org/10.1115/1.4011372
Published Online: June 4, 2021
View Article titled, Closure to “Discussion of ‘Free Vibrations of Thin Cylindrical Shells Having Finite Lengths With Freely Supported and Clamped Edges’” (1956, ASME J. Appl. Mech., 23, pp. 484–485)
Open the PDF for Closure to “Discussion of ‘Free Vibrations of Thin Cylindrical Shells Having Finite Lengths With Freely Supported and Clamped Edges’” (1956, ASME J. Appl. Mech., 23, pp. 484–485) in another window
Topics: Free vibrations, Pipes
Journal Articles

Discussion: “Free Vibrations of Thin Cylindrical Shells Having Finite Lengths With Freely Supported and Clamped Edges” (Yu, Yi-Yuan, 1955, ASME J. Appl. Mech., 22, pp. 547–552)

G. B. Warburton
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Discussions
J. Appl. Mech. September 1956, 23(3): 484–485.
https://doi.org/10.1115/1.4011371
Published Online: June 4, 2021
View Article titled, Discussion: “Free Vibrations of Thin Cylindrical Shells Having Finite Lengths With Freely Supported and Clamped Edges” (Yu, Yi-Yuan, 1955, ASME J. Appl. Mech., 22, pp. 547–552)
Open the PDF for Discussion: “Free Vibrations of Thin Cylindrical Shells Having Finite Lengths With Freely Supported and Clamped Edges” (Yu, Yi-Yuan, 1955, ASME J. Appl. Mech., 22, pp. 547–552) in another window
Topics: Free vibrations, Pipes
Journal Articles

Three-Dimensional and Shell-Theory Analysis of Axially Symmetric Motions of Cylinders

George Herrmann, I. Mirsky
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1956, 23(4): 563–568.
https://doi.org/10.1115/1.4011399
Published Online: June 4, 2021
View Article titled, Three-Dimensional and Shell-Theory Analysis of Axially Symmetric Motions of Cylinders
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Topics: Cylinders, Shells, Waves, Elasticity, Inertia (Mechanics), Membranes, Plate theory, Shear deformation, Approximation, Circular cylinders
Journal Articles

Influence of Large Amplitudes on Free Flexural Vibrations of Rectangular Elastic Plates

Hu-Nan Chu, George Herrmann
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1956, 23(4): 532–540.
https://doi.org/10.1115/1.4011396
Published Online: June 4, 2021
View Article titled, Influence of Large Amplitudes on Free Flexural Vibrations of Rectangular Elastic Plates
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Topics: Elastic plates, Vibration, Free vibrations, Elongation, Energy conservation, Hooke's law, Nonlinear equations, Plate theory, Stress
Journal Articles

On the Role of Extension in the Flexural Vibrations of Rings

L. L. Philipson
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1956, 23(3): 364–366.
https://doi.org/10.1115/1.4011337
Published Online: June 4, 2021
View Article titled, On the Role of Extension in the Flexural Vibrations of Rings
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Topics: Vibration, Free vibrations
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

Forced Motions of Elastic Rods

G. Herrmann
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1954, 21(3): 221–224.
https://doi.org/10.1115/1.4010897
Published Online: June 4, 2021
View Article titled, Forced Motions of Elastic Rods
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Topics: Displacement, Equations of motion, Free vibrations, Inertia (Mechanics), Rods, Shear stress, Waves
Journal Articles

Forced Motions of Timoshenko Beams

G. Herrmann
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 1955, 22(1): 53–56.
https://doi.org/10.1115/1.4010969
Published Online: June 4, 2021
View Article titled, Forced Motions of Timoshenko Beams
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Topics: Bending (Stress), Boundary-value problems, Deformation, Displacement, Free vibrations, Inertia (Mechanics), Shear (Mechanics)
Journal Articles

Discussion: “Tables for Frequencies and Modes of Free Vibration of Infinitely Long Thin Cylindrical Shells” (Baron, M. L., and Bleich, H. H., 1954, ASME J. Appl. Mech., 21, pp. 178–184)

G. B. Warburton
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Discussions
J. Appl. Mech. March 1955, 22(1): 135–136.
https://doi.org/10.1115/1.4010989
Published Online: June 4, 2021
View Article titled, Discussion: “Tables for Frequencies and Modes of Free Vibration of Infinitely Long Thin Cylindrical Shells” (Baron, M. L., and Bleich, H. H., 1954, ASME J. Appl. Mech., 21, pp. 178–184)
Open the PDF for Discussion: “Tables for Frequencies and Modes of Free Vibration of Infinitely Long Thin Cylindrical Shells” (Baron, M. L., and Bleich, H. H., 1954, ASME J. Appl. Mech., 21, pp. 178–184) in another window
Topics: Free vibrations, Pipes
Journal Articles

Tables for Frequencies and Modes of Free Vibration of Infinitely Long Thin Cylindrical Shells

M. L. Baron, H. H. Bleich
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1954, 21(2): 178–184.
https://doi.org/10.1115/1.4010861
Published Online: June 4, 2021
View Article titled, Tables for Frequencies and Modes of Free Vibration of Infinitely Long Thin Cylindrical Shells
Open the PDF for Tables for Frequencies and Modes of Free Vibration of Infinitely Long Thin Cylindrical Shells in another window
Topics: Free vibrations, Pipes, Waves, Membranes, Poisson ratio, Shapes, Shells, Stiffness