scholarly journals Application of discrete Fourier series to the stress analysis of shell structures

2015 ◽  
Vol 8 (3) ◽  
pp. 245-253
Author(s):  
I.G. Emel’yanov
Keyword(s):  
Fourier Series ◽  
Stress Analysis ◽  
Shell Structures ◽  
Discrete Fourier Series

Period Motions and Stability in a Nonlinear Spring Pendulum

2018 ◽  
Author(s):  
Albert C. J. Luo ◽  
Yaoguang Yuan
Keyword(s):  
Fourier Series ◽  
Excitation Frequency ◽  
Analytic Method ◽  
Analytical Prediction ◽  
Discrete Fourier Series ◽  
Periodic Motions ◽  
Harmonic Frequency ◽  
Pendulum System ◽  
Nonlinear Spring ◽  
The Stability

In this paper, period-1 motions varying with excitation frequency in a periodically forced, nonlinear spring pendulum system are predicted by a semi-analytic method. The harmonic frequency-amplitude for periodical motions are analyzed from the finite discrete Fourier series. The stability of the periodical solutions are shown on the bifurcation trees as well. From the analytical prediction, numerical illustrations of periodic motions are given, the comparison of numerical solution and analytical solution are given.

Standards for the stress analysis of thin-walled shell structures in cryogenic engineering

1983 ◽  
Vol 15 (1) ◽  
pp. 121-126 ◽  
Author(s):  
B. A. Kuranov ◽  
A. A. Lebedev ◽  
N. V. Novikov ◽  
V. A. Strizhalo
Keyword(s):  
Stress Analysis ◽  
Shell Structures ◽  
Cryogenic Engineering ◽  
Thin Walled

Multidimensional Model for the Stress Analysis of Reinforced Shell Structures

AIAA Journal ◽  
2018 ◽  
Vol 56 (4) ◽  
pp. 1647-1661 ◽  
Author(s):  
Enrico Zappino ◽  
Erasmo Carrera
Keyword(s):  
Stress Analysis ◽  
Shell Structures ◽  
Multidimensional Model ◽  
Reinforced Shell

Elasticity Based Stress Analysis under Arbitrary Load using Fourier Series

2013 ◽  
Vol 367 ◽  
pp. 106-112
Author(s):  
Lalit K. Patil ◽  
Sunil Bhat
Keyword(s):  
Fourier Series ◽  
Stress Analysis ◽  
Applied Load ◽  
Load Spectrum ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Arbitrary Load ◽  
Stress Solution ◽  
The Individual

The paper presents a methodology to obtain the stress solution of a simply supported beam subjected to arbitrary load with the help of, elasticity based, Fourier series approach. The applied load spectrum is converted into Fourier series with constant, sine and cosine components for which the solutions are available. The individual solutions are superimposed to obtain the final result. Deviations are noticed on comparing the results with those obtained from the conventional strength of material approach.

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