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Proceedings Papers

Stochastic Linearization Critically Revisited

Proc. ASME. IMECE97, Recent Advances in Solids/Structures and Application of Metallic Materials, 73-80, November 16–21, 1997

Paper No: IMECE1997-0525

DOI: https://doi.org/10.1115/IMECE1997-0525

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Topics: Errors, Linear systems, Linearization techniques, Nonlinear dynamical systems, Random excitation, Stiffness

Proceedings Papers

A New Look at the Stochastic Linearization Technique for Hyperbolic Tangent Oscillator

P. Colajanni, I. Elishakoff

Proc. ASME. IMECE98, Recent Advances in Solids and Structures, 181-189, November 15–20, 1998

Paper No: IMECE1998-0899

DOI: https://doi.org/10.1115/IMECE1998-0899

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Topics: Linearization techniques, Errors, Nonlinear systems, Numerical analysis, Potential energy

Journal Articles

Comparison of Uncertainty Analyses for Crankshaft Applications

I. Elishakoff, C. M. Fu, C. Jiang, B. Y. Ni, X. Han, G. S. Chen

ASME J. Risk Uncertainty Part B. December 2015, 1(4): 041002.

Paper No: RISK-14-1023

DOI: https://doi.org/10.1115/1.4030436

Published Online: October 2, 2015

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Topics: Manufacturing, Stress, Uncertainty, Uncertainty analysis

Journal Articles

Clamped-Free Single-Walled Carbon Nanotube-Based Mass Sensor Treated as Bernoulli–Euler Beam

I. Elishakoff, C. Versaci, N. Maugeri, G. Muscolino

J. Nanotechnol. Eng. Med. May 2011, 2(2): 021001.

DOI: https://doi.org/10.1115/1.4003734

Published Online: May 13, 2011

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Topics: Bacteria, Galerkin method, Nanotubes, Single-walled carbon nanotubes, Finite difference methods, Sensors, Cantilevers

Journal Articles

Effective Stiffness and Effective Mass of the Double-Walled Carbon Nanotube Sensor

I. Elishakoff, C. Versaci, G. Muscolino

J. Nanotechnol. Eng. Med. February 2011, 2(1): 011008.

DOI: https://doi.org/10.1115/1.4003299

Published Online: February 4, 2011

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Topics: Bacteria, Carbon nanotubes, Galerkin method, Sensors, Stiffness, Stress, Finite difference methods, Nanotubes

Journal Articles

Coincidence of Boobnov-Galerkin and Closed-Form Solutions in an Applied Mechanics Problem

I. Elishakoff, M. Zingales

J. Appl. Mech. September 2003, 70(5): 777–779.

DOI: https://doi.org/10.1115/1.1598474

Published Online: October 10, 2003

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Topics: Engineering mechanics, Galerkin method, Solid mechanics, Stress

Journal Articles

Probabilistic Assessment of Structures using Monte Carlo Simulations

P Marek,, Editor,, J Brozzetti,, Editor,, M Gustar,, Editor,, I Elishakoff,, Reviewer

Appl. Mech. Rev. March 2002, 55(2): B31–B32.

DOI: https://doi.org/10.1115/1.1451167

Published Online: April 3, 2002

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Topics: Monte Carlo methods, Probability, Reliability, Simulation, Reliability theory, Structural engineering computing

Journal Articles

Apparently First Closed-Form Solution for Frequencies of Deterministically and/or Stochastically Inhomogeneous Simply Supported Beams

S. Candan, I. Elishakoff, Mem. ASME,

J. Appl. Mech. March 2001, 68(2): 176–185.

DOI: https://doi.org/10.1115/1.1355034

Published Online: September 7, 2000

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Topics: Density, Mode shapes, Polynomials, Probability, Reliability, Simply supported beams, Stiffness, Boundary-value problems, Vibration

Journal Articles

Does a Partial Elastic Foundation Increase the Flutter Velocity of a Pipe Conveying Fluid?

I. Elishakoff, Professor, Mem. ASME,, N. Impollonia, Assistant Professor,

J. Appl. Mech. March 2001, 68(2): 206–212.

DOI: https://doi.org/10.1115/1.1354206

Published Online: August 15, 2000

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Topics: Damping, Fluids, Flutter (Aerodynamics), Pipes, Stability

Journal Articles

Anti-Optimization Versus Probability in an Applied Mechanics Problem: Vector Uncertainty

M. Zingales, Research Assistant, I. Elishakoff, Professor

J. Appl. Mech. September 2000, 67(3): 472–484.

DOI: https://doi.org/10.1115/1.1313533

Published Online: February 29, 2000

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Topics: Density, Design, Probability, Reliability, Uncertainty, Optimization

Journal Articles

Flexibility-Based Finite Element Analysis for Structures With Random Material Properties

Yongjian Ren, I. Elishakoff

J. Appl. Mech. December 1998, 65(4): 908–913.

DOI: https://doi.org/10.1115/1.2791934

Published Online: December 1, 1998

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Topics: Finite element analysis, Materials properties, Stiffness, Equilibrium (Physics), Structural mechanics, Computation, Density, Displacement, Probability, Simulation

Journal Articles

Finite Element Method for Stochastic Beams Based on Variational Principles

Y.-J. Ren, I. Elishakoff, M. Shinozuka

J. Appl. Mech. September 1997, 64(3): 664–669.

DOI: https://doi.org/10.1115/1.2788944

Published Online: September 1, 1997

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Topics: Finite element methods, Variational principles, Displacement, Stiffness, Finite element analysis, Simulation, Statistical distributions

Journal Articles

Simulation of Multivariate Gaussian Fields Conditioned by Realizations of the Fields and Their Derivatives

Y. J. Ren, I. Elishakoff, M. Shinozuka

J. Appl. Mech. September 1996, 63(3): 758–765.

DOI: https://doi.org/10.1115/1.2823360

Published Online: September 1, 1996

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Topics: Simulation, Interpolation

Journal Articles

Discussion: “Random Vibrations of Externally Damped Viscoelastic Timoshenko Beams With General Boundary Conditions” (Singh, M. P., and Abdelnaser, A. S., 1993, ASME J. Appl Mech., 60, pp. 149–156)

I. Elishakoff

J. Appl. Mech. March 1994, 61(1): 224–225.

DOI: https://doi.org/10.1115/1.2901411

Published Online: March 1, 1994

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Topics: Boundary-value problems, Random vibration

Journal Articles

Buckling and Postbuckling

J. Arbocz, Author, M. Potier-Ferry, Author, J. Singer, Author, V. Tvergaard, Author, I. Elishakoff, Reviewer

J. Appl. Mech. September 1989, 56(3): 732.

DOI: https://doi.org/10.1115/1.3176163

Published Online: September 1, 1989

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Topics: Buckling

Journal Articles

On the Ergodicity Assumption in an Applied Mechanics Problem

A. Scheurkogel, I. Elishakoff

J. Appl. Mech. March 1985, 52(1): 133–136.

DOI: https://doi.org/10.1115/1.3168982

Published Online: March 1, 1985

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Topics: Deformation, Differential equations, Engineering mechanics, Errors, Pipes, Shells

Journal Articles

Effect of Imperfections on the Vibrations of Loaded Structures

I. Elishakoff, V. Birman, J. Singer

J. Appl. Mech. March 1984, 51(1): 191–193.

DOI: https://doi.org/10.1115/1.3167567

Published Online: March 1, 1984

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Topics: Vibration

Journal Articles

On the Error That Can Be Induced by an Ergodicity Assumption

A. J. Scheurkogel, I. Elishakoff, J. J. Kalker

J. Appl. Mech. September 1981, 48(3): 654–656.

DOI: https://doi.org/10.1115/1.3157688

Published Online: September 1, 1981

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Topics: Errors

Journal Articles

Wide-Band Random Axisymmetric Vibration of Cylindrical Shells

I. Elishakoff, A. Th. van Zanten, S. H. Crandall

J. Appl. Mech. June 1979, 46(2): 417–422.

DOI: https://doi.org/10.1115/1.3424565

Published Online: June 1, 1979

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Topics: Circular cylindrical shells, Excitation, Pipes, Random vibration, Shells, Stochastic processes, Stress, String, Thin shells, Vibration

Journal Articles

Impact Buckling of Thin Bar Via Monte Carlo Method

I. Elishakoff

J. Appl. Mech. September 1978, 45(3): 586–590.

DOI: https://doi.org/10.1115/1.3424366

Published Online: September 1, 1978

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Topics: Buckling, Monte Carlo methods, Deflection, Failure, Vibration

Journal citation

NARROW

Stochastic Linearization Critically Revisited

A New Look at the Stochastic Linearization Technique for Hyperbolic Tangent Oscillator

Comparison of Uncertainty Analyses for Crankshaft Applications

Clamped-Free Single-Walled Carbon Nanotube-Based Mass Sensor Treated as Bernoulli–Euler Beam

Effective Stiffness and Effective Mass of the Double-Walled Carbon Nanotube Sensor

Coincidence of Boobnov-Galerkin and Closed-Form Solutions in an Applied Mechanics Problem

Probabilistic Assessment of Structures using Monte Carlo Simulations

Apparently First Closed-Form Solution for Frequencies of Deterministically and/or Stochastically Inhomogeneous Simply Supported Beams

Does a Partial Elastic Foundation Increase the Flutter Velocity of a Pipe Conveying Fluid?

Anti-Optimization Versus Probability in an Applied Mechanics Problem: Vector Uncertainty

Flexibility-Based Finite Element Analysis for Structures With Random Material Properties

Finite Element Method for Stochastic Beams Based on Variational Principles

Simulation of Multivariate Gaussian Fields Conditioned by Realizations of the Fields and Their Derivatives

Discussion: “Random Vibrations of Externally Damped Viscoelastic Timoshenko Beams With General Boundary Conditions” (Singh, M. P., and Abdelnaser, A. S., 1993, ASME J. Appl Mech., 60, pp. 149–156)

Buckling and Postbuckling

On the Ergodicity Assumption in an Applied Mechanics Problem

Effect of Imperfections on the Vibrations of Loaded Structures

On the Error That Can Be Induced by an Ergodicity Assumption

Wide-Band Random Axisymmetric Vibration of Cylindrical Shells

Impact Buckling of Thin Bar Via Monte Carlo Method

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