Journal ArticleDOI
Thermally induced vibrations of beam structures
TLDR
In this article, a general numerical method is developed for determining the dynamic response of beam structures to rapidly applied thermal loads, which consists of formulating and solving the dynamic problem in the Laplace transform domain with the aid of dynamic stiffness influence coefficients defined for a beam element in that domain and of obtaining the response by a numerical inversion of the transformed solution.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1980-03-01. It has received 142 citations till now. The article focuses on the topics: Laplace transform applied to differential equations & Laplace transform.read more
Citations
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Journal ArticleDOI
Thermoelastic damping in micro-beam resonators
TL;DR: In this paper, the generalized thermoelastic theory with one relaxation time was used to analyze the micro-beam damping of a single-beam resonator, and the results showed that the amplitude of deflection and thermal moment are attenuated and the vibration frequency is increased with thermo-elastic coupling effect.
Journal ArticleDOI
Numerical operational methods for time‐dependent linear problems
G.V. Narayanan,Dimitri E. Beskos +1 more
Journal ArticleDOI
The time dimension: A theory towards the evolution, classification, characterization and design of computational algorithms for transient/ dynamic applications
TL;DR: The present exposition overviews new and recent advances describing a standardized formal theory towards the evolution, classification, characterization and generic design of time discretized operators for transient/dynamic applications and explains a wide variety of generalized integration operators in time.
Journal ArticleDOI
Laser-induced vibrations of micro-beams under different boundary conditions
TL;DR: In this paper, an analytical-numerical technique based on the Laplace transform is used to calculate the vibration of the deflection and thermal moment of a micro-beam.
Journal ArticleDOI
A theory of development and design of generalized integration operators for computational structural dynamics
TL;DR: A standardized formal theory of development, characterization and design of a wide variety of computational algorithms emanating from a generalized time weighted residual philosophy for dynamic analysis is first presented with subsequent emphasis on detailed formulations of a particular class relevant to the so‐called time integration approaches which belong to a much broader classification relevant to time discretized operators.
References
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Journal ArticleDOI
An algorithm for the machine calculation of complex Fourier series
J.W. Cooley,John W. Tukey +1 more
TL;DR: Good generalized these methods and gave elegant algorithms for which one class of applications is the calculation of Fourier series, applicable to certain problems in which one must multiply an N-vector by an N X N matrix which can be factored into m sparse matrices.
Book
Theory of thermal stresses
TL;DR: Theory of thermal stresses, Theory of Thermal Stresses, this paper, Theory of thermal stress, and thermal stresses theory, thermal stresses and thermal stress theory in literature, 2015.
Journal ArticleDOI
Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method
TL;DR: An accurate method is presented for the numerical inversion of Laplace transform, which is a natural continuation to Dubner and Abate's method, and the error bound on the inverse f{t) becomes independent of t, instead of being exponential in t.
Book
An Introduction to the Mechanics of Solids
TL;DR: In this article, the authors present a general framework for the analysis of deformable bodies, including bending, deformation, and deformation of a twisted circular shaft with respect to bending.