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Proceedings Papers

The Dynamics of the Celt With Second Order Averaging and Computer Algebra

Proc. ASME. DETC97, Volume 1C: 16th Biennial Conference on Mechanical Vibration and Noise, V01CT17A017, September 14–17, 1997

Paper No: DETC97/VIB-4103

https://doi.org/10.1115/DETC97/VIB-4103

View Paper titled, The Dynamics of the Celt With Second Order Averaging and Computer Algebra

Topics: Algebra, Computers, Dynamics (Mechanics), Flow (Dynamics), Bifurcation, Energy dissipation, Particle spin, Rotation, Spin (Aerodynamics)

Proceedings Papers

Nonlinear Modal Analysis of a Cracked Beam

M. Chati, R. H. Rand, S. Mukherjee

Proc. ASME. DETC97, Volume 1A: 16th Biennial Conference on Mechanical Vibration and Noise, V01AT05A002, September 14–17, 1997

Paper No: DETC97/VIB-3950

https://doi.org/10.1115/DETC97/VIB-3950

View Paper titled, Nonlinear Modal Analysis of a Cracked Beam

Topics: Modal analysis, Degrees of freedom, Fracture (Materials), Vibration, Cantilever beams, Dynamics (Mechanics), Finite element methods, Mode shapes, Nonlinear dynamics

Journal Articles

Chaotic Motions of a Constrained Pipe Conveying Fluid: Comparison Between Simulation, Analysis, and Experiment

M. P. Paidoussis, G. X. Li, R. H. Rand

J. Appl. Mech. June 1991, 58(2): 559–565.

https://doi.org/10.1115/1.2897220

Published Online: June 1, 1991

View Article titled, Chaotic Motions of a Constrained Pipe Conveying Fluid: Comparison Between Simulation, Analysis, and Experiment

Topics: Fluids, Pipes, Simulation analysis, Bifurcation, Flow (Dynamics), Chaos, Approximation, Cascades (Fluid dynamics), Degrees of freedom, Dimensions

Journal Articles

Analytical Model of Corneal Surgery

R. H. Rand, S. R. Lubkin, H. C. Howland

J Biomech Eng. May 1991, 113(2): 239–241.

https://doi.org/10.1115/1.2891240

Published Online: May 1, 1991

View Article titled, Analytical Model of Corneal Surgery

Topics: Cornea, Surgery, Shells, Isotropy, Pressure, Shapes, Spherical shells, Young's modulus

Journal Articles

Stability of a Rigid Body With an Oscillating Particle: An Application of MACSYMA

L. A. Month, R. H. Rand

J. Appl. Mech. September 1985, 52(3): 686–692.

https://doi.org/10.1115/1.3169122

Published Online: September 1, 1985

View Article titled, Stability of a Rigid Body With an Oscillating Particle: An Application of MACSYMA

Topics: Particulate matter, Stability, Inertia (Mechanics), Rotation, Spin (Aerodynamics), Algebra, Computers

Journal Articles

Classical Mechanics (Vol. I and Vol. II)

E. A. Desloge, Author, R. H. Rand, Reviewer

J. Appl. Mech. June 1983, 50(2): 478.

https://doi.org/10.1115/1.3167080

Published Online: June 1, 1983

View Article titled, Classical Mechanics (Vol. I and Vol. II)

Topics: Classical mechanics

Journal Articles

An Application of the Poincare´ Map to the Stability of Nonlinear Normal Modes

L. A. Month, R. H. Rand

J. Appl. Mech. September 1980, 47(3): 645–651.

https://doi.org/10.1115/1.3153747

Published Online: September 1, 1980

View Article titled, An Application of the Poincare´ Map to the Stability of Nonlinear Normal Modes

Topics: Stability, Approximation

Journal Articles

A Theoretical Analysis of CO 2 Absorption in Sun Versus Shade Leaves

R. H. Rand

J Biomech Eng. February 1978, 100(1): 20–24.

https://doi.org/10.1115/1.3426185

Published Online: February 1, 1978

View Article titled, A Theoretical Analysis of CO 2 Absorption in Sun Versus Shade Leaves

Topics: Absorption, Carbon dioxide, Shades and shadows, Theoretical analysis, Biological tissues, Diffusion (Physics), Space, Steady state, Temperature

Journal Articles

The Stability of Bifurcating Periodic Solutions in a Two-Degree-of-Freedom Nonlinear System

L. A. Month, R. H. Rand

J. Appl. Mech. December 1977, 44(4): 782–784.

https://doi.org/10.1115/1.3424180

Published Online: December 1, 1977

View Article titled, The Stability of Bifurcating Periodic Solutions in a Two-Degree-of-Freedom Nonlinear System

Topics: Nonlinear systems, Stability

Journal Articles

On the Stability of a Differential Equation With Application to Parametrically Excited Systems

R. H. Rand, H. Simon

J. Appl. Mech. March 1970, 37(1): 218–220.

https://doi.org/10.1115/1.3408447

Published Online: March 1, 1970

View Article titled, On the Stability of a Differential Equation With Application to Parametrically Excited Systems

Topics: Differential equations, Stability, Computer software, Excitation

Journal Articles

On the Stability of the Vibrations of Two Coupled Particles in the Plane

R. H. Rand, S. F. Tseng

J. Appl. Mech. September 1969, 36(3): 417–419.

https://doi.org/10.1115/1.3564695

Published Online: September 1, 1969

View Article titled, On the Stability of the Vibrations of Two Coupled Particles in the Plane

Topics: Particulate matter, Stability, Vibration, Identical particles (Quantum mechanics), Springs, Stress

Journal citation

NARROW

The Dynamics of the Celt With Second Order Averaging and Computer Algebra

Nonlinear Modal Analysis of a Cracked Beam

Chaotic Motions of a Constrained Pipe Conveying Fluid: Comparison Between Simulation, Analysis, and Experiment

Analytical Model of Corneal Surgery

Stability of a Rigid Body With an Oscillating Particle: An Application of MACSYMA

Classical Mechanics (Vol. I and Vol. II)

An Application of the Poincare´ Map to the Stability of Nonlinear Normal Modes

A Theoretical Analysis of CO 2 Absorption in Sun Versus Shade Leaves

The Stability of Bifurcating Periodic Solutions in a Two-Degree-of-Freedom Nonlinear System

On the Stability of a Differential Equation With Application to Parametrically Excited Systems

On the Stability of the Vibrations of Two Coupled Particles in the Plane

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