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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)

R. W. Traill-Nash

J. Appl. Mech. June 1959, 26(2): 307.

DOI: https://doi.org/10.1115/1.4012014

Published Online: June 23, 2021

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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)

R. B. McCalley, Jr.

J. Appl. Mech. June 1959, 26(2): 306–307.

DOI: https://doi.org/10.1115/1.4012013

Published Online: June 23, 2021

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Topics: Damped linear dynamic systems, Equations of motion

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

Analysis of Asymmetric Nonviscously Damped Linear Dynamic Systems

S. Adhikari, N. Wagner

J. Appl. Mech. November 2003, 70(6): 885–893.

DOI: https://doi.org/10.1115/1.1601251

Published Online: January 5, 2004

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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

S. J. Cox, J. Moro

J. Appl. Mech. December 1997, 64(4): 965–968.

DOI: https://doi.org/10.1115/1.2789007

Published Online: December 1, 1997

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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)

S. M. Shahruz

J. Appl. Mech. June 1994, 61(2): 501.

DOI: https://doi.org/10.1115/1.2901484

Published Online: June 1, 1994

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Topics: Damped linear dynamic systems

Journal Articles

On the Approximate Solution of Nonclassically Damped Linear Systems

J. H. Hwang, F. Ma

J. Appl. Mech. September 1993, 60(3): 695–701.

DOI: https://doi.org/10.1115/1.2900860

Published Online: September 1, 1993

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Topics: Damped linear dynamic systems, Errors, Approximation, Damping

Journal Articles

Nonclassically Damped Dynamic Systems: An Iterative Approach

Firdaus E. Udwadia, Ramin S. Esfandiari

J. Appl. Mech. June 1990, 57(2): 423–433.

DOI: https://doi.org/10.1115/1.2892007

Published Online: June 1, 1990

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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

Z. Liang, T. T. Soong

J. Appl. Mech. December 1988, 55(4): 988–990.

DOI: https://doi.org/10.1115/1.3173754

Published Online: December 1, 1988

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Topics: Damped linear dynamic systems

Journal Articles

Approximate Decoupling of the Equations of Motion of Linear Underdamped Systems

S. M. Shahruz, F. Ma

J. Appl. Mech. September 1988, 55(3): 716–720.

DOI: https://doi.org/10.1115/1.3125855

Published Online: September 1, 1988

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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

J. A. Brandon

J. Appl. Mech. December 1984, 51(4): 904–906.

DOI: https://doi.org/10.1115/1.3167744

Published Online: December 1, 1984

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Topics: Damped linear dynamic systems, Damping

Journal Articles

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

D. J. Inman, A. N. Andry, Jr.

J. Appl. Mech. December 1980, 47(4): 927–930.

DOI: https://doi.org/10.1115/1.3153815

Published Online: December 1, 1980

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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

C. D. Michalopoulos

J. Appl. Mech. December 1977, 44(4): 785–787.

DOI: https://doi.org/10.1115/1.3424182

Published Online: December 1, 1977

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Topics: Damped linear dynamic systems, Random excitation

Journal Articles

A Theorem on the Free Vibration of Damped Systems

I. Fawzy

J. Appl. Mech. March 1977, 44(1): 132–134.

DOI: https://doi.org/10.1115/1.3423978

Published Online: March 1, 1977

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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)

Y. K. Lin

J. Appl. Mech. June 1966, 33(2): 471–472.

DOI: https://doi.org/10.1115/1.3625084

Published Online: June 1, 1966

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Topics: Damped linear dynamic systems

Journal Articles

Normal and Quasi-Normal Modes in Damped Linear Dynamic Systems

J. S. Maybee

J. Appl. Mech. June 1966, 33(2): 413–416.

DOI: https://doi.org/10.1115/1.3625058

Published Online: June 1, 1966

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Topics: Damped linear dynamic systems

Journal Articles

Classical Normal Modes in Damped Linear Dynamic Systems

T. K. Caughey, M. E. J. O’Kelly

J. Appl. Mech. September 1965, 32(3): 583–588.

DOI: https://doi.org/10.1115/1.3627262

Published Online: September 1, 1965

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Topics: Damped linear dynamic systems

Journal Articles

On Classical Normal Modes of a Damped Linear System

Morris Morduchow

J. Appl. Mech. September 1961, 28(3): 458.

DOI: https://doi.org/10.1115/1.3641729

Published Online: September 1, 1961

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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)

F. P. Beer, C. L. Karna

J. Appl. Mech. March 1961, 28(1): 152.

DOI: https://doi.org/10.1115/1.3640440

Published Online: March 1, 1961

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Topics: Damped linear dynamic systems

Journal Articles

Classical Normal Modes in Damped Linear Dynamic Systems

T. K. Caughey

J. Appl. Mech. June 1960, 27(2): 269–271.

DOI: https://doi.org/10.1115/1.3643949

Published Online: June 1, 1960

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Topics: Damped linear dynamic systems, Damping

Journal citation

NARROW

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)

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)

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

Analysis of Asymmetric Nonviscously Damped Linear Dynamic Systems

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

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)

On the Approximate Solution of Nonclassically Damped Linear Systems

Nonclassically Damped Dynamic Systems: An Iterative Approach

Bounds on Harmonically Forced Response of Damped Linear Systems

Approximate Decoupling of the Equations of Motion of Linear Underdamped Systems

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

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

Response of Nonclassically Damped Linear Systems to Stationary Random Excitation

A Theorem on the Free Vibration of Damped Systems

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)

Normal and Quasi-Normal Modes in Damped Linear Dynamic Systems

Classical Normal Modes in Damped Linear Dynamic Systems

On Classical Normal Modes of a Damped Linear System

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

Classical Normal Modes in Damped Linear Dynamic Systems

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