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Submissions from 2026

Striking Influence of Lumped Masses With Concentrated Rotary Inertia on the Random Vibration Characteristics of an Axially Loaded Beam, Richard Bachoo and Isaac Elishakoff

Wide-band random vibration of the X-braced frame with and without lumped masses and concentrated rotary inertiae, Richard Bachoo and Isaac Elishakoff

Critical re-examination and numerical verification of Sorokin and Arkhipov's approach to free transversal vibrations of beams using plane elasticity theory, A. Cazzani, Isaac Elishakoff, V. Eremeyev, M. Spagnuolo, and A. Ulukhanian

Stephen Timoshenko’s letters to Paul Ehrenfest, recently discovered at the museum Boerhaave, Leiden, The Netherlands, Isaac Elishakoff, Julius Kaplunov, and Elizabeth Kaplunov

Interval and Ellipsoid Intersection Model for Structural Uncertainty Analysis, Xinzhou Qiao, Hongmei Liu, Isaac Elishakoff, and Naigang Hu

A novel multidimensional parallelepiped model for structural uncertainty quantification and propagation analysis, Xinzhou Qiao, Yan Li, Isaac Elishakoff, and Naigang Hu

Submissions from 2025

Optimal boundary control for the Timoshenko–Ehrenfest truncated model, Leonardo Rogério da Silva Rodrigues, Dilberto da Silva Almeida Júnior, and Isaac Elishakoff

A Comparison of Three Theories for Vibration Analysis for Shell Models, Maria Anna De Rosa, Isaac Elishakoff, and Maria Lippiello

Buckling of Simply Supported Bi-Periodic Elastic Columns, Isaac Elishakoff, Noël Challamel, Lassiné Keita, and Vincent Picandet

Exact solution for longitudinal vibration of elastically constrained biperiodic rod, Isaac Elishakoff, Lassiné Keita, Noël Challamel, and Vincent Picandet

Closed-Form Solution for Free Longitudinal Vibration of a Bar With Rayleigh and Love Correction Term, Isaac Elishakoff and Janak Kumar Tharu

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“IKEA Effect” and project-based instruction in intermediate strength of materials course, Isaac Elishakoff and Victor Zauder

Uncovering an Overlooked Natural Frequency in Free Vibrations of a Plate with Attached Resonators, Isaac Elishakoff and Matthieu Zawadzki

Optimal design of reinforced concrete structures in reinforcement corrosive wear conditions, M. M. Fridman, Isaac Elishakoff, and Y. Ribakov

Extension of dual equivalent replacement method to optimization of damped primary structure with tuned mass damper, N. N. Linh, N. A. Ngoc, T. D. Nang, N. X. Nguyen, N. D. Anh, and Isaac Elishakoff

Analytical Calculation of Static Deflection of Biperiodic Stepped Euler–Bernoulli Beam#, Yuchen Li, Isaac Elishakoff, and Noël Challame

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THE MACROALGAL COMPOSITION DIFFERS AMONG DEPTHS AND ZONES IN CUBAN MESOPHOTIC CORAL REEF ECOSYSTEMS, Beatriz Martínez-Daranas, M. Dennis Hanisak, Patricia M. González-Sánchez, Stephanie Farrington, and John k. Reed

An Improved Nonprobabilistic Monte Carlo Simulation Method for Structural Reliability Analysis Based on Convex Models, Xinzhou Qiao, Yuetong Zhao, Xiurong Fang, and Isaac Elishakoff

Some thoughts on risk, vulnerability, and survivability, Vladimir Raizer and Isaac Elishakoff

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Review of the audio book Mona's Eyes, Sunghae Ress

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Review of the audiobook The Nimbus, Sunghae Ress

How accurate are the reliability assessments conducted by the finite element method?, Roberta Santoro and Isaac Elishakoff

Convergence insights of closed-form and approximate solutions for functionally graded material columns, Zachary Suttin, Isaac Elishakoff, and Kristopher Stewart

Submissions from 2024

Random vibration of the point-driven portal and multi-bay planar frames, Richard Bachoo and Isaac Elishakoff

Free-Vibration Analysis for Truncated Uflyand–Mindlin Plate Models: An Alternative Theoretical Formulation, Maria Anna De Rosa, Isaac Elishakoff, and Maria Lippiello

Fair share: 111 problems from Ahmes to Aumann, Isaac Elishakoff

Foreword by Isaac Elishakoff, Isaac Elishakoff

Multifaceted Uncertainty Quantification, Isaac Elishakoff

An interesting project in the “strength of materials” or “machine design” courses, Isaac Elishakoff, Moshe Eisenberger, and Alexander Mercer

On rotary inertia of microstuctured beams and variations thereof, Victor A. Eremeyev and Isaac Elishakoff

The history and the current state of the art related to structures under stress and corrosion, Mark M. Fridman, Isaac Elishakoff, and Yuri Ribakov

Extension of dual equivalent linearization to analysis of deterministic dynamic systems: Part 2—multi-parameter equivalent linearization, Nguyen Ngoc Linh, Nguyen Tay Anh, Nguyen Cao Thang, N. D. Anh, and Isaac Elishakoff

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, and Isaac Elishakoff

Nonlocal-Strain-Gradient-Based Anisotropic Elastic Shell Model for Vibrational Analysis of Single-Walled Carbon Nanotubes, Matteo Strozzi, Isaac Elishakoff, Michele Bochicchio, Marco Cocconcelli, Riccardo Rubini, and Enrico Radi

Statistical information of low-dimensional processes hidden in random state data, Yanping Tian, Zhanchao Huang, Junyin Li, Yong Wang, Zhilong Huang, and Isaac Elishakoff

Additional Natural Frequency of the Beam Carrying a Spring-Mass System: Lost and Found, Matthieu Zawadzki and Isaac Elishakoff

Submissions from 2023

Shamrovskii's Version of the Refined Dynamical Plate Theory, Igor V. Andrianov and Isaac Elishakoff

Extension of dual equivalent linearization to analysis of deterministic dynamic systems. Part 1: single-parameter equivalent linearization, N. D. Anh, Nguyen Ngoc Linh, Tran Tuan Long, Nguyen Cao Thang, Anh Tay Nguyen, and Isaac Elishakoff

Random vibrations of laminated planar frames, Richard Bachoo and Isaac Elishakoff

Dynamic stiffness formulation for a micro beam using Timoshenko–Ehrenfest and modified couple stress theories with applications, J. Ranjan Banerjee, Stanislav O. Papkov, Thuc P. Vo, and Isaac Elishakoff

Dynamic Analysis of a Timoshenko–Ehrenfest Single-Walled Carbon Nanotube in the Presence of Surface Effects: The Truncated Theory, Maria Anna De Rosa, Isaac Elishakoff, Antonella Onorato, and Maria Lippiello

Free Vibration of Single-Walled Carbon Nanotubes Using Nonlocal Truncated Timoshenko-Ehrenfest Beam Theory, Maria Anna De Rosa, Maria Lippiello, Antonella Onorato, and Isaac Elishakoff

Was Stephen Timoshenko right about the Jewish scientists in Germany?, Isaac Elishakoff

Buckling of a column made of the functionally graded material with high-order polynomial mode shape, Isaac Elishakoff, Chotpong Chotpatthamanon, and J. N. Reddy

An explicit solution to a game-theoretic bankruptcy problem, Isaac Elishakoff and Avraham N. Dancygier

Sharp Bounds for Natural Frequencies of Beams with Uncertain Spring Coefficients, Isaac Elishakoff, Baptiste Ducreux, and Nicolas Yvain

Interval Quadratic Equations: A Review, Isaac Elishakoff and Nicolas Yvain

A consistent approach to characterize random vibrations of nanobeams, S. Ali Faghidian and Isaac Elishakoff

The tale of shear coefficients in Timoshenko–Ehrenfest beam theory: 130 years of progress, S. Ali Faghidian and Isaac Elishakoff

Nonlinear flexure mechanics of mixture unified gradient nanobeams, S. Ali Faghidian, Krzysztof Kamil Żur, and Isaac Elishakoff

Automatedly Distilling Canonical Equations From Random State Data, Xiaoling Jin, Zhanchao Huang, Yong Wang, Zhilong Huang, and Isaac Elishakoff

Combined active learning Kriging with optimal saturation nonlinear vibration control for uncertain systems with both aleatory and epistemic uncertainties, Xiao Xiao Liu, Ling Wei Bai, Xing Min Ren, Bing Bing He, and Isaac Elishakoff

Effective mass and effective stiffness of finite and infinite metamaterial lattices, Yuchen Li, Noël Challamel, and Isaac Elishakoff

Analytical Calculation of Static Deflection of Biperiodic Stepped Euler-Bernoulli Beam, Yuchen Li, Isaac Elishakoff, and Noël Challamel

SLOPE-INERTIA MODEL FOR ROTATING TIMOSHENKO-EHRENFEST BEAMS, Apurva S. Rangari, Isaac Elishakoff, and Korak Sarkar

A Comparison of Shell Theories for Vibration Analysis of Single-Walled Carbon Nanotubes Based on an Anisotropic Elastic Shell Model, Matteo Strozzi, Isaac Elishakoff, Michele Bochicchio, Marco Cocconcelli, Riccardo Rubini, and Enrico Radi

Submissions from 2022

Wave Propagation in Timoshenko–Ehrenfest Nanobeam: A Mixture Unified Gradient Theory, S. Ali Faghidian and Isaac Elishakoff

FURTHER INSIGHTS INTO THE TIMOSHENKO-EHRENFEST BEAM THEORY, J. R. Banerjee, D. Kennedy, and Isaac Elishakoff

Further Insights Into the Timoshenko–Ehrenfest Beam Theory, J. R. Banerjee, D. Kennedy, and Isaac Elishakoff

REDUCED THEORIES FOR THICK SHELLS, Maria A. De Rosa, Maria Lippiello, and Isaac Elishakoff

Variational Derivation of Truncated Timoshenko-Ehrenfest Beam Theory, Maria Anna De Rosa, Maria Lippiello, and Isaac Elishakoff

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

DID S.P. TIMOSHENKO AND P. EHRENFEST OVERESTIMATE THE IMPORTANCE OF THE FOURTH-ORDER TIME DERIVATIVE IN THEIR THEORY OF BEAMS?, Isaac Elishakoff

Letters of S.P. Timoshenko to V.I. Vernadsky recently discovered at Columbia University’s library, with analysis of his attitudes, Isaac Elishakoff

Simplified Timoshenko-Ehrenfest beam equation to analyze metamaterials, Isaac Elishakoff, Yuchen Li, Noël Challamel, and J. N. Reddy

Projects-Based Instruction of Intermediate Strength of Materials Course: Preparing Students for Future Workforce, Isaac Elishakoff and Abhishek Ratanpara

The 100th Anniversary of the Timoshenko–Ehrenfest Beam Model, Isaac Elishakoff, Daniel Segalman, and Firas Khasawneh

Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation, Barış Erbaş, Julius Kaplunov, and Isaac Elishakoff

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Collaborations for Student Success: How Librarians and Student Affairs Work Together to Enrich Learning, Linda Marie Golian-Lui

Shear Deformable Elastic Beam Models in Vibration and Sensitivity of Natural Frequencies to Warping Effects, Castrenze Polizzotto, Isaac Elishakoff, and Paolo Fuschi

On proper applications of Galërkin’s approach in structural mechanics courses, G. Ruta and Isaac Elishakoff

Closed-form solutions for axisymmetric functionally graded material elastic plates, Giuseppe Ruta and Isaac Elishakoff

BUCKLING OF SIMPLY SUPPORTED – CLAMPED FUNCTIONALLY GRADED MATERIAL COLUMNS: NEW CLOSED-FORM SOLUTIONS, Kristopher Stewart and Isaac Elishakoff

Application of GALErkin’s Method to Buckling of Functionally Graded or Stepped Columns, Joel Storch and Isaac Elishakoff

Applicability and limitations of Donnell shell theory for vibration modelling of double-walled carbon nanotubes, Matteo Strozzi, Isaac Elishakoff, Leonid I. Manevitch, and Oleg V. Gendelman

Distilling slow process probability density from fast random data, Yanping Tian, Yong Wang, Xiaoling Jin, Zhilong Huang, and Isaac Elishakoff

Submissions from 2021

Flutter of a multicomponent beam in a supersonic flow, Marco Amato, Isaac Elishakoff, and J. N. Reddy

Chebyshev inequality–based inflated convex hull for uncertainty quantification and optimization with scarce samples, Sivakumar Ayyasamy, Palaniappan Ramu, and Isaac Elishakoff

Who needs refined structural theories?, E. Carrera, Isaac Elishakoff, and M. Petrolo

Lattice-Based Nonlocal Elastic Structural Models, Noël Challamel, Chien Ming Wang, Hong Zhang, and Isaac Elishakoff

Review of uncertainty quantification, associated parables, and Raphael Tuvia Haftka’s contributions, Isaac Elishakoff

Stephen Timoshenko's life during last five years in the Russian Empire: From the letters of his son Gregory, Isaac Elishakoff

Flutter of a beam in supersonic flow: truncated version of Timoshenko–Ehrenfest equation is sufficient, Isaac Elishakoff and Marco Amato

Rigorous implementation of the Galerkin method for stepped structures needs generalized functions, Isaac Elishakoff, Marco Amato, Arvan Prakash Ankitha, and Alessandro Marzani

Galerkin's method revisited and corrected in the problem of Jaworsky and Dowell, Isaac Elishakoff, Marco Amato, and Alessandro Marzani

Free, forced, and random vibrations of a beam composed of highly contrasting materials, Isaac Elishakoff, T. Fang, and C. Jiang

Uncertainty quantification and propagation based on hybrid experimental, theoretical, and computational treatment, Isaac Elishakoff, T. Fang, N. Sarlin, and C. Jiang

Galerkin’s Method was not Developed by Ritz, Contrary to the Timoshenko’s Statement, Isaac Elishakoff, J. Kaplunov, and E. Kaplunov

Seventh-order polynomial constituting the exact buckling mode of a functionally graded column, Isaac Elishakoff, Jonathan Padilla, Youkendy Mera, and J. N. Reddy

Centenary of two pioneering theories in mechanics, Isaac Elishakoff and Konstantin Y. Volokh

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Improving Library Services in Support of International Students and English as a Second Language Learners, Linda Marie Golian-Lui

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SOUTH ATLANTIC MPAS AND OCULINA HAPC: CHARACTERIZATION OF BENTHIC HABITAT AND BIOTA., Stacey Harter, John K. Reed, Andrew David, Stephanie Farrington, and Harbor Branch Oceanographic Institute

Data-driven method for dimension reduction of nonlinear randomly vibrating systems, Junyin Li, Yong Wang, Xiaoling Jin, Zhilong Huang, and Isaac Elishakoff

Efficiency of mono-stable piezoelectric Duffing energy harvester in the secondary resonances by averaging method, Part 2: Super-harmonic resonance, Nguyen Ngoc Linh, Anh Tay Nguyen, Nguyen Van Manh, Vu Anh Tuan, Nguyen Van Kuu, N. D. Anh, and Isaac Elishakoff

Exact solutions for stochastic Bernoulli–Euler beams under deterministic loading, Nachman Malkiel, Oded Rabinovitch, and Isaac Elishakoff

Data-based polyhedron model for optimization of engineering structures involving uncertainties, Zhiping Qiu, Han Wu, Isaac Elishakoff, and Dongliang Liu

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CHARACTERIZATION OF THE MESOPHOTIC CORAL REEFS IN THE FLORIDA KEYS NATIONAL MARINE SANCTUARY., John K. Reed, Stephanie Farrington, Harbor Branch Oceanographic Institute, Dennis M. Hanisak, and Shirley A. Pomponi

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PHOTO IDENTIFICATION GUIDE OF THE BENTHIC TAXA INHABITING THE MESOPHOTIC REEFS OF THE FLORIDA KEYS NATIONAL MARINE SANCTUARY., John K. Reed, Stephanie Farrington, Shirley A. Pomponi, Maria Cristina Diaz, Harbor Branch Oceanographic Institute, and Dennis M. Hanisak

Buckling of axially graded nonlocal columns: Closed-form solutions, Joel Storch and Isaac Elishakoff

Three alternative versions of the theory for a Timoshenko–Ehrenfest beam on a Winkler–Pasternak foundation, Giulio Maria Tonzani and Isaac Elishakoff