Submissions from 2004
Reconstructing the cross-sectional area of an axially vibrating non-uniform rod from one of its mode shapes, Yitshak M. Ram and Isaac Elishakoff
Dedication, J. N. Reddy, C. W. Bert, I. Elishakoff, and L. Librescu
Towards the resolution of the Smith-Herrmann paradox, G. C. Ruta and I. Elishakoff
Apparently first closed-form solutions of inhomogeneous circular plates in 200 years after Chladni, J. A. Storch and I. Elishakoff
Submissions from 2003
Notes on philosophy of the Monte Carlo method, I. Elishakoff
Notes on philosophy of the Monte Carlo method, I. Elishakoff
Coincidence of Boobnov-Galerkin and closed-form solutions in an applied mechanics problem, I. Elishakoff and M. Zingales
Contrasting probabilistic and anti-optimization approaches in an applied mechanics problem, I. Elishakoff and M. Zingales
Large variation finite element method for beams with stochastic stiffness, Olivier Rollot and Isaac Elishakoff
Submissions from 2002
Can harmonic functions constitute closed-form buckling modes of inhomogeneous columns?, Ivo Caliò and Isaac Elishakoff
A new twist of the method of successive approximations to yield closed-form solutions for inhomogeneous vibrating beams by integral method, I. Elishakoff, M. Baruch, and R. Becquet
A novel local stochastic linearization method via two extremum entropy principles, Giuseppe Ricciardi and Isaac Elishakoff
Submissions from 2001
Class of analytical closed-form polynomial solutions for clamped-guided inhomogeneous beams, Roland Becquet and Isaac Elishakoff
Class of analytical closed-form polynomial solutions for guided-pinned inhomogeneous beams, Roland Becquet and Isaac Elishakoff
Lessons pertaining to the finite element method for stochastic problems, learned from simplest example, Wlodzimierz Brzakala and Isaac Elishakoff
Apparently first closed-form solution for frequencies of deterministically and/or stochastically inhomogeneous simply supported beams, S. Candan and I. Elishakoff
Constructing the axial stiffness of longitudinally vibrating rod from fundamental mode shape, S. Candan and I. Elishakoff
Apparently first closed-form solution for vibrating: Inhomogeneous beams, I. Elishakoff and S. Candan
Remarkable nature of the effect of boundary conditions on closed-form solutions for vibrating inhomogeneous Bernoulli-Euler beams, I. Elishakoff and Z. Guédé
Does a partial elastic foundation increase the flutter velocity of a pipe conveying fluid?, I. Elishakoff and N. Impollonia
Apparently first closed-form solution for frequency of beam with rotational spring, Isaac Elishakoff
Euler's problem revisited: 222 years later, Isaac Elishakoff
Inverse buckling problem for inhomogeneous columns, Isaac Elishakoff
Some unexpected results in vibration of non-homogeneous beams on elastic foundation, Isaac Elishakoff
Turning around a method of successive iterations to yield closed-form solutions for vibrating inhomogeneous bars, Isaac Elishakoff, Menahem Baruch, and Roland Becquet
Novel closed-form solutions in buckling of inhomogeneous columns under distributed variable loading, Isaac Elishakoff and Zakoua Guédé
Fifth-order polynomial that serves as both buckling and vibration mode of an inhomogeneous structure, Zakoua Guédé and Isaac Elishakoff
Apparently first closed-form solutions for inhomogeneous vibrating beams under axial loading, Z. Guédé and I. Elishakoff
Inhomogeneous beams that may possess a prescribed polynomial second mode, J. Neuringer and I. Elishakoff
Anti-optimization technique - A generalization of interval analysis for nonprobabilistic treatment of uncertainty, Zhiping Qiu and Isaac Elishakoff
Hybrid analysis of uncertainty: Probability, fuzziness and antioptimization, Fulvio Tonon, Alberto Bernardini, and Isaac Elishakoff
Bounded-but-unknown uncertainties in design optimization, F. van Keulen, H. Damveld, I. Elishakoff, and V. V. Toropov
Hybrid aeroelastic optimization and antioptimization, Massimiliano Zingales and Isaac Elishakoff
Submissions from 2000
A closed-form solution for the generalized Euler problem, I. Elishakoff
Axisymmetric vibration of inhomogeneous clamped circular plates: an unusual closed-form solution, I. Elishakoff
Axisymmetric vibration of inhomogeneous free circular plates: an unusual exact, closed-form solution, I. Elishakoff
Both static deflection and vibration mode of uniform beam can serve as a buckling mode of a non-uniform column, I. Elishakoff
Elastic stability: From Euler to Koiter there was none like Koiter, I. Elishakoff
Multiple combinations of the stochastic linearization criteria by the moment approach, I. Elishakoff
Resurrections of the method of successive approximations to yield closed-form solutions for vibrating inhomogeneous beams, I. Elishakoff
Closed-form solutions for natural frequency for inhomogeneous beams with one sliding support and the other clamped, I. Elishakoff and R. Becquet
Closed-form solutions for natural frequency for inhomogeneous beams with one sliding support and the other pinned, I. Elishakoff and R. Becquet
Possible limitations of probabilistic methods in engineering, Isaac Elishakoff
Stochastic linearization technique: A new interpretation and a selective review, Isaac Elishakoff
Uncertain buckling: Its past, present and future, Isaac Elishakoff
Effect of elastic foundations on divergence and flutter of an articulated pipe conveying fluid, N. Impollonia and I. Elishakoff
Natural frequency of an inhomogeneous rod may be independent of nodal parameters, J. Neuringer and I. Elishakoff
Buckling mode localization in rib-stiffened plates with misplaced stiffeners - Kantorovich approach, W. C. Xie and I. Elishakoff
Localization of the bending response in presence of axial load, Massimiliano Zingales and Isaac Elishakoff
Anti-Optimization versusprobability in an appliedmechanics problem: Vector uncertainty, M. Zingales and I. Elishakoff
Submissions from 1999
New exact solutions for randomly loaded beams with stochastic flexibility, I. Elishakoff, N. Impollonia, and Y. J. Ren
New closed-form solutions for buckling of a variable stiffness column by mathematica®, I. Elishakoff and O. Rollot
Refined theories may be needed for vibration analysis of structures with overhang, Isaac Elishakoff, Judah Ari-Gur, and Partha S. Das
The bird's eye view on finite element method for structures with large stochastic variations, Isaac Elishakoff and Yongjian Ren
Safety factor and the non-deterministic approaches, Isaac Elishakoff and James H. Starnes
Submissions from 1998
A generalization of the Drenick-Shinozuka model for bounds on the seismic response of a single-degree-of-freedom system, A. Baratta, I. Elishakoff, G. Zuccaro, and M. Shinozuka
A new look at the stochastic linearization technique for hyperbolic tangent oscillator, P. Colajanni and I. Elishakoff
A new look at the stochastic linearization technique for hyperbolic tangent oscillator, P. Colajanni and I. Elishakoff
A NEW LOOK AT THE STOCHASTIC LINEARIZATION TECHNIQUE FOR HYPERBOLIC TANGENT OSCILLATOR, P. Colajanni and I. Elishakoff
A subtle error in conventional stochastic linearization techniques, P. Colajanni and I. Elishakoff
Booton's problem re-examined, I. Elishakoff and P. Colajanni
Three versions of the finite element method based on concepts of either stochasticity, fuzziness, or anti-optimization, Isaac Elishakoff
Combination of anti-optimization and fuzzy-set-based analyses for structural optimization under uncertainty, J. Fang, S. M. Smith, and I. Elishakoff
Behavior of stochastic shear beams under random loading via stochastic variational principles, N. Impollonia and I. Elishakoff
Exact and approximate solutions, and variational principles for stochastic shear beams under deterministic loading, N. Impollonia and I. Elishakoff
A comparison of stochastic and interval finite elements applied to shear frames with uncertain stiffness properties, H. Uǧur Köylüoǧlu and Isaac Elishakoff
Interesting instructional problems in column buckling for the strength of materials and mechanics of solids courses, J. Neuringer and I. Elishakoff
Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis, Zhiping Qiu and Isaac Elishakoff
New results in finite element method for stochastic structures, Y. J. Ren and I. Elishakoff
Flexibility-based finite element analysis for structures with random material properties, Yongjian Ren and I. Elishakoff
Reflections on fifty years, M. Sathyamoorthy and Isaac Elishakoff
Worst case estimation of homology design by convex analysis, N. Yoshikawa, I. Elishakoff, and S. Nakagiri
Antioptimization of earthquake excitation and response, G. Zuccaro, I. Elishakoff, and A. Baratta
Submissions from 1997
Dynamic instability of a transversely isotropic column subjected to a compression pulse, J. Ari-Gur and I. Elishakoff
Comment on “fuzzy finite element approach for the analysis of imprecisely defined systems”, I. Elishakoff
Stochastic linearization critically re-examined, I. Elishakoff and P. Colajanni
STOCHASTIC LINEARIZATION CRITICALLY REVISITED, I. Elishakoff and P. Colajanni
Stochastic linearization critically revisited, I. Elishakoff and P. Colajanni
Passive control of buckling deformation via Anderson localization phenomenon, I. Elishakoff, Y. W. Li, and J. H. Starnes
New formulation of FEM for deterministic and stochastic beams through generalization of Fuchs' approach, I. Elishakoff, Y. J. Ren, and M. Shinozuka
Effect of the thickness variation and initial imperfection on buckling of composite cylindrical shells: Asymptotic analysis and numerical results by BOSOR4 and PANDA2, Yi Wei Li, Isaac Elishakoff, James H. Starnes, and David Bushnell
Finite element method for stochastic beams based on variational principles, Y. J. Ren, I. Elishakoff, and M. Shinozuka
Submissions from 1996
Non-stationary response of linear systems under stochastic Gaussian and non-Gaussian excitation: A brief overview of recent results, Mario Di Paola and Isaac Elishakoff
Detrimental or serendipitous effect of human error on reliability of structures, I. Elishakoff and A. M. Hasofer
Imperfection sensitivity due to the elastic moduli in the Roorda-Koiter frame, I. Elishakoff, Y. W. Li, and J. H. Starnes
On vibrational imperfection sensitivity of Augusti's model structure in the vicinity of a non-linear static state, I. Elishakoff, S. Marcus, and J. H. Starnes
Some critical observations and attendant new results in the finite element method for stochastic problems, I. Elishakoff, Y. J. Ren, and M. Shinozuka
Variational principles developed for and applied to analysis of stochastic beams, I. Elishakoff, Y. J. Ren, and M. Shinozuka
RECENT ADVANCES in FINITE ELEMENT METHOD for STOCHASTIC STRUCTURES, Isaac Elishakoff and Yongjian Ren
Recent advances in finite element method for stochastic structures, Isaac Elishakoff and Yongjian Ren
Recent advances in finite element method for stochastic structures, Isaac Elishakoff and Yongjian Ren
Reliability of structures subject to normally distributed initial imperfections, K. Ikeda, K. Murota, and I. Elishakoff
Bounds of Eigenvalues for Structures with an Interval Description of Uncertain-but-non-random Parameters, Zhiping Qiu, Suhuan Chen, and Isaac Elishakoff
Non-probabilistic Eigenvalue Problem for Structures with Uncertain Parameters via Interval Analysis, Zhiping Qiu, Suhuan Chen, and Isaac Elishakoff
The bound set of possible eigenvalues of structures with uncertain but non-random parameters, Zhiping Qiu, Isaac Elishakoff, and James H. Starnes
Simulation of multivariate gaussian fields conditioned by realizations of the fields and their derivatives, Y. J. Ren, I. Elishakoff, and M. Shinozuka
New element flexibility based FEM for stochastic structures, Yongjian Ren and Isaac Elishakoff
Hybrid Probabilitic and Convex Modeling of Excitation and Response of Periodic Structures, L. P. Zhu and I. Elishakoff
Derivation of multi-dimensional ellipsoidal convex model for experimental data, L. P. Zhu, I. Elishakoff, and J. H. Starnes