[KNJIGA][B] Eigenvalues of inhomogeneous structures: unusual closed-form solutions

I Elishakoff - 2004 - taylorfrancis.com
The engineering community generally accepts that there exists only a small set of closed-
form solutions for simple cases of bars, beams, columns, and plates. Despite the advances …

Seismic analysis of the world's tallest building

H Fan, QS Li, AY Tuan, L Xu - Journal of Constructional Steel Research, 2009 - Elsevier
Taipei 101 (officially known as the Taipei Financial Center) with 101 stories and 508 m
height, located in Taipei where earthquakes and strong typhoons are common occurrences …

[HTML][HTML] Determination of critical buckling load for elastic columns of constant and variable cross-sections using variational iteration method

SB Coşkun, MT Atay - Computers & Mathematics with Applications, 2009 - Elsevier
In this paper, variational iteration method (VIM) is applied to the problem of determination of
critical buckling loads for Euler columns with constant and variable cross-sections. VIM is a …

Correlating dynamic characteristics from field measurements and numerical analysis of a high‐rise building

JMW Brownjohn, TC Pan… - Earthquake Engineering & …, 2000 - Wiley Online Library
Using the concept of lumped masses and rigid floor slabs, several mathematical models
were built using a popular PC‐based finite element program to model a tall building with a …

[HTML][HTML] Elastic stability of Euler columns with a continuous elastic restraint using variational iteration method

MT Atay, SB Coşkun - Computers & Mathematics with Applications, 2009 - Elsevier
In this paper, analysis of elastic stability for continuously restrained Euler columns is
conducted by means of variational iteration method (VIM). A uniform homogeneous column …

Hydroelastic waves in a frozen channel with non-uniform thickness of ice

K Shishmarev, K Zavyalova, E Batyaev… - Water, 2022 - mdpi.com
The periodic flexural-gravity waves propagating along a frozen channel are investigated.
The channel has a rectangular cross section. The fluid in the channel is inviscid …

Contribution of the second mode to wind-induced response of prismatic tall buildings

L Zou, F Qiu, G Xu, T Shi, A Kareem - Engineering Structures, 2025 - Elsevier
An increase in the height of tall buildings generally results in lower natural frequencies,
which may increase their sensitivity to wind-induced effects, especially in the acrosswind …

A selective review of direct, semi-inverse and inverse eigenvalue problems for structures described by differential equations with variable coefficients

I Elishakoff - Archives of Computational Methods in Engineering, 2000 - Springer
This selective review (with emphasis on the word “selective”) gives only a taste of extensive
research that has been conducted since 1759 when Leonhard Euler posed, apparently for …

Exact solutions for free longitudinal vibrations of non-uniform rods

QS Li - Journal of Sound and Vibration, 2000 - Elsevier
An exact approach for free longitudinal vibrations of one-step non-uniform rods with
classical and non-classical boundary conditions is presented. In this paper, the expression …

Dynamic behavior of buildings with non-uniform stiffness along their height assessed through coupled flexural and shear beams

A Alonso-Rodríguez, E Miranda - Bulletin of Earthquake Engineering, 2016 - Springer
A novel model for assessing building behavior has been developed by coupling a Bernoulli
beam with a quartic stiffness variation and a shear beam with a parabolic stiffness variation …