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Journal Articles

Discussion: “Co-ordinates Which Uncouple the Equations of Motion of Damped Linear Dynamic Systems” (Foss, K. A., 1958, ASME J. Appl. Mech., 25, pp. 361–364)

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R. W. Traill-Nash
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Discussions
J. Appl. Mech. June 1959, 26(2): 307.
https://doi.org/10.1115/1.4012014
Published Online: June 23, 2021
View Articletitled, Discussion: “Co-ordinates Which Uncouple the Equations of Motion of Damped Linear Dynamic Systems” (Foss, K. A., 1958, ASME J. Appl. Mech., 25, pp. 361–364)
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Topics: Damped linear dynamic systems, Equations of motion
Journal Articles

Discussion: “Co-ordinates Which Uncouple the Equations of Motion of Damped Linear Dynamic Systems” (Foss, K. A., 1958, ASME J. Appl. Mech., 25, pp. 361–364)

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R. B. McCalley, Jr.
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Discussions
J. Appl. Mech. June 1959, 26(2): 306–307.
https://doi.org/10.1115/1.4012013
Published Online: June 23, 2021
View Articletitled, Discussion: “Co-ordinates Which Uncouple the Equations of Motion of Damped Linear Dynamic Systems” (Foss, K. A., 1958, ASME J. Appl. Mech., 25, pp. 361–364)
Open the PDF for Discussion: “Co-ordinates Which Uncouple the Equations of Motion of Damped Linear Dynamic Systems” (Foss, K. A., 1958, ASME J. Appl. Mech., 25, pp. 361–364) in another window
Topics: Damped linear dynamic systems, Equations of motion
Journal Articles

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

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K. A. Foss
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1958, 25(3): 361–364.
https://doi.org/10.1115/1.4011828
Published Online: June 16, 2021
View Articletitled, Co-Ordinates Which Uncouple the Equations of Motion of Damped Linear Dynamic Systems
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Topics: Damped linear dynamic systems, Equations of motion, Transients (Dynamics), Damping, Eigenvalues, Stress
Journal Articles

Analysis of Asymmetric Nonviscously Damped Linear Dynamic Systems

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S. Adhikari, N. Wagner
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. November 2003, 70(6): 885–893.
https://doi.org/10.1115/1.1601251
Published Online: January 5, 2004
View Articletitled, Analysis of Asymmetric Nonviscously Damped Linear Dynamic Systems
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Topics: Damping, Eigenvalues, Damped linear dynamic systems
Journal Articles

A Lyapunov Function for Systems Whose Linear Part is Almost Classically Damped

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S. J. Cox, J. Moro
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. December 1997, 64(4): 965–968.
https://doi.org/10.1115/1.2789007
Published Online: December 1, 1997
View Articletitled, A Lyapunov Function for Systems Whose Linear Part is Almost Classically Damped
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Topics: Construction, Damped linear dynamic systems, Mechanical drives, Stability
Journal Articles

Discussion: “On the Approximate Solution of Nonclassically Damped Linear Systems” (Hwang, J. H., and Ma, F., 1993, ASME J. Appl. Mech., 60, pp. 695–701)

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S. M. Shahruz
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Discussions
J. Appl. Mech. June 1994, 61(2): 501.
https://doi.org/10.1115/1.2901484
Published Online: June 1, 1994
View Articletitled, Discussion: “On the Approximate Solution of Nonclassically Damped Linear Systems” (Hwang, J. H., and Ma, F., 1993, ASME J. Appl. Mech., 60, pp. 695–701)
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Topics: Damped linear dynamic systems
Journal Articles

On the Approximate Solution of Nonclassically Damped Linear Systems

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J. H. Hwang, F. Ma
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1993, 60(3): 695–701.
https://doi.org/10.1115/1.2900860
Published Online: September 1, 1993
View Articletitled, On the Approximate Solution of Nonclassically Damped Linear Systems
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Topics: Damped linear dynamic systems, Errors, Approximation, Damping
Journal Articles

Nonclassically Damped Dynamic Systems: An Iterative Approach

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Firdaus E. Udwadia, Ramin S. Esfandiari
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1990, 57(2): 423–433.
https://doi.org/10.1115/1.2892007
Published Online: June 1, 1990
View Articletitled, Nonclassically Damped Dynamic Systems: An Iterative Approach
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Topics: Damped linear dynamic systems, Differential equations, Dynamic response, Dynamic systems, Mechanical engineering, Structural dynamics
Journal Articles

Bounds on Harmonically Forced Response of Damped Linear Systems

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Z. Liang, T. T. Soong
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. December 1988, 55(4): 988–990.
https://doi.org/10.1115/1.3173754
Published Online: December 1, 1988
View Articletitled, Bounds on Harmonically Forced Response of Damped Linear Systems
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Topics: Damped linear dynamic systems
Journal Articles

Approximate Decoupling of the Equations of Motion of Linear Underdamped Systems

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S. M. Shahruz, F. Ma
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1988, 55(3): 716–720.
https://doi.org/10.1115/1.3125855
Published Online: September 1, 1988
View Articletitled, Approximate Decoupling of the Equations of Motion of Linear Underdamped Systems
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Topics: Approximation, Damped linear dynamic systems, Damping, Equations of motion, Errors
Journal Articles

A Discussion of Alternative Duncan Formulations of the Eigenproblem for the Solution of Nonclassically, Viscously Damped Linear Systems

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J. A. Brandon
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1984, 51(4): 904–906.
https://doi.org/10.1115/1.3167744
Published Online: December 1, 1984
View Articletitled, A Discussion of Alternative Duncan Formulations of the Eigenproblem for the Solution of Nonclassically, Viscously Damped Linear Systems
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Topics: Damped linear dynamic systems, Damping
Journal Articles

Some Results on the Nature of Eigenvalues of Discrete Damped Linear Systems

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D. J. Inman, A. N. Andry, Jr.
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1980, 47(4): 927–930.
https://doi.org/10.1115/1.3153815
Published Online: December 1, 1980
View Articletitled, Some Results on the Nature of Eigenvalues of Discrete Damped Linear Systems
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Topics: Damped linear dynamic systems, Eigenvalues, Lumped parameter models
Journal Articles

Response of Nonclassically Damped Linear Systems to Stationary Random Excitation

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C. D. Michalopoulos
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. December 1977, 44(4): 785–787.
https://doi.org/10.1115/1.3424182
Published Online: December 1, 1977
View Articletitled, Response of Nonclassically Damped Linear Systems to Stationary Random Excitation
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Topics: Damped linear dynamic systems, Random excitation
Journal Articles

A Theorem on the Free Vibration of Damped Systems

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I. Fawzy
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 1977, 44(1): 132–134.
https://doi.org/10.1115/1.3423978
Published Online: March 1, 1977
View Articletitled, A Theorem on the Free Vibration of Damped Systems
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Topics: Damped linear dynamic systems, Damping, Free vibrations, Theorems (Mathematics)
Journal Articles

Discussion: “Classical Normal Modes in Damped Linear Dynamic Systems” (Caughey, T. K., and O’Kelly, M. E. J., 1965, ASME J. Appl. Mech., 32, pp. 583–588)

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Y. K. Lin
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Discussions
J. Appl. Mech. June 1966, 33(2): 471–472.
https://doi.org/10.1115/1.3625084
Published Online: June 1, 1966
View Articletitled, Discussion: “Classical Normal Modes in Damped Linear Dynamic Systems” (Caughey, T. K., and O’Kelly, M. E. J., 1965, ASME J. Appl. Mech., 32, pp. 583–588)
Open the PDF for Discussion: “Classical Normal Modes in Damped Linear Dynamic Systems” (Caughey, T. K., and O’Kelly, M. E. J., 1965, ASME J. Appl. Mech., 32, pp. 583–588) in another window
Topics: Damped linear dynamic systems
Journal Articles

Normal and Quasi-Normal Modes in Damped Linear Dynamic Systems

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J. S. Maybee
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1966, 33(2): 413–416.
https://doi.org/10.1115/1.3625058
Published Online: June 1, 1966
View Articletitled, Normal and Quasi-Normal Modes in Damped Linear Dynamic Systems
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Topics: Damped linear dynamic systems
Journal Articles

Classical Normal Modes in Damped Linear Dynamic Systems

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T. K. Caughey, M. E. J. O’Kelly
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1965, 32(3): 583–588.
https://doi.org/10.1115/1.3627262
Published Online: September 1, 1965
View Articletitled, Classical Normal Modes in Damped Linear Dynamic Systems
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Topics: Damped linear dynamic systems
Journal Articles

On Classical Normal Modes of a Damped Linear System

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Morris Morduchow
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. September 1961, 28(3): 458.
https://doi.org/10.1115/1.3641729
Published Online: September 1, 1961
View Articletitled, On Classical Normal Modes of a Damped Linear System
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Topics: Damped linear dynamic systems
Journal Articles

Discussion: “Classical Normal Modes in Damped Linear Dynamic Systems” (Caughey, T. K., 1960, ASME J. Appl. Mech., 27, pp. 269–271)

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F. P. Beer, C. L. Karna
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Discussions
J. Appl. Mech. March 1961, 28(1): 152.
https://doi.org/10.1115/1.3640440
Published Online: March 1, 1961
View Articletitled, Discussion: “Classical Normal Modes in Damped Linear Dynamic Systems” (Caughey, T. K., 1960, ASME J. Appl. Mech., 27, pp. 269–271)
Open the PDF for Discussion: “Classical Normal Modes in Damped Linear Dynamic Systems” (Caughey, T. K., 1960, ASME J. Appl. Mech., 27, pp. 269–271) in another window
Topics: Damped linear dynamic systems
Journal Articles

Classical Normal Modes in Damped Linear Dynamic Systems

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T. K. Caughey
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1960, 27(2): 269–271.
https://doi.org/10.1115/1.3643949
Published Online: June 1, 1960
View Articletitled, Classical Normal Modes in Damped Linear Dynamic Systems
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Topics: Damped linear dynamic systems, Damping