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Isaac Elishakoff
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Journal Articles

The Approximate Analysis of Higher-Order Frequencies of Nonlinear Vibrations of a Cantilever Beam With the Extended Galerkin Method

Baochen Meng, Chencheng Lian, Ji Wang, Huimin Jing, Rongxing Wu, Ji Lin, Isaac Elishakoff
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2024, 19(4): 041005.
Paper No: CND-23-1263
https://doi.org/10.1115/1.4064724
Published Online: February 29, 2024
View Article titled, The Approximate Analysis of Higher-Order Frequencies of Nonlinear Vibrations of a Cantilever Beam With the Extended Galerkin Method
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Topics: Cantilever beams, Rotation, Vibration, Galerkin method, Mode shapes
Proceedings Papers

Slope-Inertia Model for Rotating Timoshenko-Ehrenfest Beams

Apurva Sunil Rangari, Isaac Elishakoff, Korak Sarkar
Proc. ASME. SSDM2023, ASME 2023 Aerospace Structures, Structural Dynamics, and Materials Conference, V001T02A010, June 19–21, 2023
Publisher: American Society of Mechanical Engineers
Paper No: SSDM2023-108413
https://doi.org/10.1115/SSDM2023-108413
View Paper titled, Slope-Inertia Model for Rotating Timoshenko-Ehrenfest Beams
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Topics: Inertia (Mechanics), Blades, Rotating beams, Timoshenko beam theory, Aerospace industry, Boundary-value problems, Euler-Bernoulli beam theory, Finite element methods, Free vibrations, Gas turbines
Proceedings Papers

Recent Advances in Finite Element Method for Stochastic Structures

Isaac Elishakoff, Yongjian Ren
Proc. ASME. IMECE96, Recent Advances in Solids/Structures and Application of Metallic Materials, 35-44, November 17–22, 1996
Publisher: American Society of Mechanical Engineers
Paper No: IMECE1996-0142
https://doi.org/10.1115/IMECE1996-0142
View Paper titled, Recent Advances in Finite Element Method for Stochastic Structures
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Topics: Finite element methods, Variational principles
Journal Articles

Automatedly Distilling Canonical Equations From Random State Data

Xiaoling Jin, Zhanchao Huang, Yong Wang, Zhilong Huang, Isaac Elishakoff
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. August 2023, 90(8): 081007.
Paper No: JAM-23-1049
https://doi.org/10.1115/1.4062329
Published Online: May 9, 2023
View Article titled, Automatedly Distilling Canonical Equations From Random State Data
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Topics: Momentum, Optimization, Excitation, Dynamic systems
Proceedings Papers

Reduced Theories for Thick Shells

Maria Anna De Rosa, Maria Lippiello, Isaac Elishakoff
Proc. ASME. IMECE2022, Volume 5: Dynamics, Vibration, and Control, V005T07A003, October 30–November 3, 2022
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2022-96660
https://doi.org/10.1115/IMECE2022-96660
View Paper titled, Reduced Theories for Thick Shells
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Topics: Shells, Dynamic analysis, Pipes, Plates (structures), Vibration
Proceedings Papers

Did S.P. Timoshenko and P. Ehrenfest Overestimate the Importance of the Fourth-Order Time Derivative in Their Theory of Beams?

Isaac Elishakoff
Proc. ASME. IMECE2022, Volume 5: Dynamics, Vibration, and Control, V005T07A001, October 30–November 3, 2022
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2022-95836
https://doi.org/10.1115/IMECE2022-95836
View Paper titled, Did S.P. Timoshenko and P. Ehrenfest Overestimate the Importance of the Fourth-Order Time Derivative in Their Theory of Beams?
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Topics: Elasticity
Proceedings Papers

Further Insights Into the Timoshenko-Ehrenfest Beam Theory

J. Ranjan Banerjee, David Kennedy, Isaac Elishakoff
Proc. ASME. IMECE2022, Volume 5: Dynamics, Vibration, and Control, V005T07A056, October 30–November 3, 2022
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2022-96554
https://doi.org/10.1115/IMECE2022-96554
View Paper titled, Further Insights Into the Timoshenko-Ehrenfest Beam Theory
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Topics: Euler-Bernoulli beam theory, Rotational inertia, Shear deformation, Free vibrations, Boundary-value problems, Vibration
Journal Articles

Did S. P. Timoshenko and P. Ehrenfest Overestimate the Importance of the Fourth-Order Time Derivative in Their Beam Theory?

Isaac Elishakoff
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. December 2022, 144(6): 061012.
Paper No: VIB-22-1253
https://doi.org/10.1115/1.4055975
Published Online: November 9, 2022
View Article titled, Did S. P. Timoshenko and P. Ehrenfest Overestimate the Importance of the Fourth-Order Time Derivative in Their Beam Theory?
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Topics: Euler-Bernoulli beam theory, Rotational inertia, Shear (Mechanics), Vibration, Shear deformation, Elasticity, Dynamics (Mechanics), Boundary-value problems, Acoustics
Journal Articles

The 100th Anniversary of the Timoshenko–Ehrenfest Beam Model

Isaac Elishakoff, Daniel Segalman, Firas Khasawneh
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Guest Editorial
J. Vib. Acoust. December 2022, 144(6): 060301.
Paper No: VIB-22-1317
https://doi.org/10.1115/1.4055874
Published Online: October 19, 2022
View Article titled, The 100th Anniversary of the Timoshenko–Ehrenfest Beam Model
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Topics: Collaboration, Euler-Bernoulli beam theory, Plates (structures), Shear (Mechanics), Shells, Timoshenko beam theory, Vibration
Journal Articles

Wave Propagation in Timoshenko–Ehrenfest Nanobeam: A Mixture Unified Gradient Theory

S. Ali Faghidian, Isaac Elishakoff
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. December 2022, 144(6): 061005.
Paper No: VIB-22-1185
https://doi.org/10.1115/1.4055805
Published Online: October 12, 2022
View Article titled, Wave Propagation in Timoshenko–Ehrenfest Nanobeam: A Mixture Unified Gradient Theory
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Topics: Elasticity, Strain gradient, Stress, Wave propagation, Waves, Constitutive equations, Boundary-value problems, Equilibrium (Physics), Computer simulation
Proceedings Papers

Analysis of Base Excitation As an Uncertain Function With Specified Bounds on it and its Derivatives

Isaac Elishakoff, Baruch Pletner
Proc. ASME. DETC91, 13th Biennial Conference on Mechanical Vibration and Noise: Structural Vibration and Acoustics, 177-183, September 22–25, 1991
Publisher: American Society of Mechanical Engineers
Paper No: DETC1991-0201
https://doi.org/10.1115/DETC1991-0201
View Paper titled, Analysis of Base Excitation As an Uncertain Function With Specified Bounds on it and its Derivatives
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Topics: Excitation, Displacement, Uncertainty
Journal Articles

Celebrating the Centenary of Timoshenko's Study of Effects of Shear Deformation and Rotary Inertia

Isaac Elishakoff, Julius Kaplunov, Evgeniya Nolde
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Review Articles
Appl. Mech. Rev. November 2015, 67(6): 060802.
Paper No: AMR-15-1067
https://doi.org/10.1115/1.4031965
Published Online: December 11, 2015
View Article titled, Celebrating the Centenary of Timoshenko's Study of Effects of Shear Deformation and Rotary Inertia
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Topics: Rotational inertia, Shear deformation, Vibration, Shear (Mechanics), Boundary-value problems, Stress, Inertia (Mechanics), Simply supported beams, Euler-Bernoulli beam theory, Plates (structures)
Journal Articles

Special Issue on Nonprobabilistic Treatments of Uncertainty: Recent Developments

Alba Sofi, Giuseppe Muscolino, Isaac Elishakoff
Journal: ASCE-ASME J Risk and Uncert in Engrg Sys Part B Mech Engrg
Publisher: ASME
Article Type: Guest Editorial
ASME J. Risk Uncertainty Part B. December 2015, 1(4): 040301.
Paper No: RISK-15-1095
https://doi.org/10.1115/1.4031559
Published Online: October 2, 2015
View Article titled, Special Issue on Nonprobabilistic Treatments of Uncertainty: Recent Developments
Topics: Uncertainty
Journal Articles

Intricate Interrelation Between Robustness and Probability in the Context of Structural Optimization

Oded Amir, Isaac Elishakoff
Journal: ASCE-ASME J Risk and Uncert in Engrg Sys Part B Mech Engrg
Publisher: ASME
Article Type: Research Papers
ASME J. Risk Uncertainty Part B. September 2015, 1(3): 031003.
Paper No: RISK-14-1059
https://doi.org/10.1115/1.4030456
Published Online: July 1, 2015
View Article titled, Intricate Interrelation Between Robustness and Probability in the Context of Structural Optimization
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Topics: Design, Optimization, Probability, Robustness, Structural optimization, Uncertainty, Trusses (Building), Weight (Mass), Stress, Displacement
Journal Articles

Special Section on Nonprobabilistic Approaches for Handling Uncertainty in Engineering

Alba Sofi, Giuseppe Muscolino, Isaac Elishakoff
Journal: ASCE-ASME J Risk and Uncert in Engrg Sys Part B Mech Engrg
Publisher: ASME
Article Type: Editorial
ASME J. Risk Uncertainty Part B. September 2015, 1(3): 030201.
Paper No: RISK-15-1073
https://doi.org/10.1115/1.4030822
Published Online: July 1, 2015
View Article titled, Special Section on Nonprobabilistic Approaches for Handling Uncertainty in Engineering
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Topics: Uncertainty
Journal Articles

Discussion: “Dynamic Stability of Periodic Pipes Conveying Fluid” (Yu, D. L., Païdoussis, M. P., Shen, H. J., and Wan, L., 2013, ASME J. Appl. Mech., 81 , p. 011008)

Isaac Elishakoff, Alessandro Marzani, Marco Miniaci
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Discussions
J. Appl. Mech. June 2014, 81(6): 065501.
Paper No: JAM-13-1450
https://doi.org/10.1115/1.4026640
Published Online: February 19, 2014
View Article titled, Discussion: “Dynamic Stability of Periodic Pipes Conveying Fluid” (Yu, D. L., Païdoussis, M. P., Shen, H. J., and Wan, L., 2013, ASME J. Appl. Mech., 81 , p. 011008)
Open the PDF for Discussion: “Dynamic Stability of Periodic Pipes Conveying Fluid” (Yu, D. L., Païdoussis, M. P., Shen, H. J., and Wan, L., 2013, ASME J. Appl. Mech., 81 , p. 011008) in another window
Topics: Dynamic stability, Fluids, Pipes
Journal Articles

Hybrid Optimization and Anti-Optimization of a Stochastically Excited Beam

Isaac Elishakoff, Kévin Dujat, Maurice Lemaire, Guy Gadiot
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. February 2014, 81(2): 021017.
Paper No: JAM-13-1082
https://doi.org/10.1115/1.4025402
Published Online: October 16, 2013
View Article titled, Hybrid Optimization and Anti-Optimization of a Stochastically Excited Beam
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Topics: Displacement, Excitation, Mode shapes, Optimization, Random vibration
Journal Articles

Dramatic Effect of the Utilized Theory on Frequency Distribution Function of Carbon Nanotubes

Isaac Elishakoff, Yannis Bekel, Thomas Gomez
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. February 2014, 81(2): 021002.
Paper No: JAM-12-1263
https://doi.org/10.1115/1.4024402
Published Online: September 16, 2013
View Article titled, Dramatic Effect of the Utilized Theory on Frequency Distribution Function of Carbon Nanotubes
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Topics: Carbon nanotubes
Journal Articles

Design of Axially Graded Columns Under a Central Force

Roberta Santoro, Isaac Elishakoff
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. February 2014, 81(2): 021001.
Paper No: JAM-10-1295
https://doi.org/10.1115/1.4024400
Published Online: September 16, 2013
View Article titled, Design of Axially Graded Columns Under a Central Force
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Topics: Buckling, Design, Functionally graded materials, Stiffness, Stress, Polynomials
Journal Articles

Application of Lamé's Super Ellipsoids to Model Initial Imperfections

Isaac Elishakoff, Yannis Bekel
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. November 2013, 80(6): 061006.
Paper No: JAM-12-1264
https://doi.org/10.1115/1.4023679
Published Online: August 19, 2013
View Article titled, Application of Lamé's Super Ellipsoids to Model Initial Imperfections
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Topics: Deflection, Stress, Hull, Rotation