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Journal ArticleDOI

Timoshenko Beam Element Resting on Two-Parameter Elastic Foundation

L. M. Shirima, +1 more
- 01 Feb 1992 - 
- Vol. 118, Iss: 2, pp 280-295
TLDR
In this article, the authors presented the complete force displacement relationship for a Timoshenko beam element resting on a two-parameter elastic foundation and derived the stiffness matrix and nodal-action column vector coefficients from the transport matrix based on the exact solution of two differential equations governing the problem concerned herein.
Abstract
The objective of this paper is to present the complete force-displacement relationship for a Timoshenko beam element resting on a two-parameter elastic foundation. Both the stiffness matrix and nodal-action column-vector coefficients are derived from the transport matrix based on the exact solution of two differential equations governing the problem concerned herein. Explicit expressions for the element stiffness matrix and the nodal-action column vectors are

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Citations
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Journal ArticleDOI

Formulas for an infinitely long bernoulli-euler beam on the pasternak model

TL;DR: In this article, the authors presented a complete set of formulas to calculate the displacements and stresses on an infinitely long Bernoulli-Euler beam on the Pasternak model and carried out numerical case studies on mechanical quantities of the beam and the shear layer.
Journal ArticleDOI

A feasibility study on railway ballast damage detection utilizing measured vibration of in situ concrete sleeper

TL;DR: In this article, a feasibility study on the detection of ballast damage utilizing the measured vibration of the in situ concrete sleeper by following the model updating method was conducted, and the numerical and experimental verification results are very encouraging, showing that it is possible to quantify the health status of the rail-sleeper-ballast system by calculating the reduction in stiffness.
Journal ArticleDOI

Formulation of a generalized beam element on a two-parameter elastic foundation with semi-rigid connections and rigid offsets

TL;DR: In this paper, a Bernoulli/Timoshenko finite beam element on a two-parameter elastic foundation is presented, which is based on the exact solution of the differential equation governing displacements.
Journal ArticleDOI

Calculation of GI for a multidirectional composite double cantilever beam on two-parametric elastic foundation

TL;DR: In this paper, a Timoshenko beam (TB) resting on two-parametric (or Pasternak) elastic foundation (PEF) is developed for determination of strain energy release rate (SERR) of mode-I delamination in multidirectional double cantilever beam (DCB) specimens.
Journal ArticleDOI

Deflections of Timoshenko beam with varying cross-section

TL;DR: In this article, closed form solutions for bending beams with linearly and (in the binomial form) parabolically varying depth and width along the beam's length are presented.
References
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Journal ArticleDOI

Structural dynamics—theory and computation, by Mario Paz. Pp 446. £22·45. 1980. ISBN 0 442 23019 2 (Van Nostrand Reinhold)

TL;DR: This book describes the development of a dynamic method for earthquake engineering equivolent staic lateral force method - uniform Building Code 1994 dynamic method - Uniform Building Code - 1994.
Book

Structural Dynamics: Theory and Computation

Mario Paz
TL;DR: In this paper, structural analysis of a single-degree-of-freedom system undamped single degree of freedom system response to haarmonic loading response to general dynamic loading Fourier analysis and response in the frequency domain generalized coordinates and Rayleigh's method nonlinear structural response response spectra.
Journal ArticleDOI

Beam elements on two-parameter elastic foundations

TL;DR: In this paper, two kinds of finite elements are formulated to analyze beams on one-or two-parameter foundations, one based on the exact displacement function and the other based on a cubic displacement function.
Journal ArticleDOI

Finite Beams on Elastic Foundations

TL;DR: In this article, the problem of solving the differential equation of beams of finite length, resting on a Winkler foundation, is solved in terms of the initial conditions, i.e., the conditions at one of the ends of the beam.
Book

Intermediate structural analysis

C. K. Wang, +1 more
TL;DR: This Intermediate Structural Analysis C K Wang is a kind of precious book written by an experienced author and it will show the reasonable reasons why you need to read this book.