2015
DOI: 10.12988/ces.2015.510289
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Rubberlike membranes at inner pressure

Abstract: The methods of building experiments of stretching of round membranes by normal pressure has been developed. The experimental data are compared with results of the theoretical research. The nonlinear theory of shells is offered for calculation of elastic membranes.

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Cited by 4 publications
(4 citation statements)
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“…Therefore, many dynamic systems require the introduction of certain types of measures for further optimization. Different types of measures in dynamic systems, as well as how to define them are discussed in [9][10][11][12].…”
Section: Literature Reviewmentioning
confidence: 99%
“…Therefore, many dynamic systems require the introduction of certain types of measures for further optimization. Different types of measures in dynamic systems, as well as how to define them are discussed in [9][10][11][12].…”
Section: Literature Reviewmentioning
confidence: 99%
“…The solution of nonlinear differential equations [18][19][20][21][22][23][24][25] can be carried out various approximate analytical methods [26][27][28][29][30][31][32][33][34][35]: the method of Van der Pol, the harmonic balance method, the averaging method, the small parameter method, the method of Krylov-Bogolyubov, method of harmonic linearization, the method of Poincare. We obtained an approximate analytical solution of the modified method of harmonic linearization with Chebyshev polynomials [36][37][38][39][40][41][42] 2 2 4 2 4 2 2 2 2 3 3 3 3 11 11 11 22 3 15 3 1 2 3 3 3 3 3 Figure 15 shows graphs of the vertical oscillations of mobile satellite antenna obtained by analytical method (blue), a numerical method (yellow) and the graph the oscillation without vibration protection devices (green).…”
Section: Fig14 the Scheme Vibration Protection Devicementioning
confidence: 99%
“…In view of boundary conditions (8,9) are found: n . In experimental investigations on stretching of the circular membranes of normal pressure this dependence is realized [34,36]. T in case of static equations is constant and is independent on the coordinate s .…”
Section: The Static Solutionmentioning
confidence: 99%
“…For large deformations of shells and membranes to calculate such characteristics are not simply [22][23][24][25][26]. This is due to not only to the difficulties of constructing solutions of nonlinear boundary value problems, but also to the fact that they can have more than one solution [27][28][29][30][31][32][33][34][35]. If the problem has several solutions, there are difficulties in the numerical solution of boundary value problems [36][37][38][39].…”
Section: Introductionmentioning
confidence: 99%