Engineering Journal: Science and InnovationELECTRONIC SCIENCE AND ENGINEERING PUBLICATION
Certificate of Registration Media number Эл #ФС77-53688 of 17 April 2013. ISSN 2308-6033. DOI 10.18698/2308-6033
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Article

Corrugated membrane performance analysis in nonlinear deformation process

Published: 15.11.2016

Authors: Gavrushin S.S., Podkopaev S.A.

Published in issue: #11(59)/2016

DOI: 10.18698/2308-6033-2016-11-1558

Category: Mechanics | Chapter: Dynamics, Strength of Machines, Instruments, and Equipment

Corrugated membranes are widely used in instrument-making as elastic elements. Devices reliability and quality depend on the accuracy of elastic elements calculation. So, corrugated membranes calculation is the problem of current interest. We used parameter continuation and parameter subspace change methods for corrugated membranes calculation. The algorithm is implemented in С program. The membrane elastic characteristic and deformed shape of its meridian are the results of the calculation. The isolated elastic characteristic curve calculation algorithm is shown as well. Thus, the proposed calculation technique appears to be effective and can be recommended for the analysis of a wide range of elastic elements.


References
[1] Andreeva L.E., Ponomarev S.D. Raschet uprugikh elementov mashin i priborov [Calculation of elastic elements of machines and devices]. Moscow, Mashino-stroenie Publ., 1980, 326 p.
[2] Grigolyuk E.I., Lopanitsyn E.A. Konechnye progiby, ustoichivost i zakriticheskoe povedenie tonkikh pologikh obolochek [Thin-walled shallow shells finite deflections, stability and post-buckling behaviour]. Moscow, MSTU "MAMI" Publ., 2004, 162 p.
[3] Popov E.P. Inzhenernyi sbornik - Engineering collection, 1948, no. 5, pp. 62-92.
[4] Bich D.H., Tung H.V. Non-linear axisymmetric response of functionally graded shallow spherical shells under uniform external pressure including temperature effects. Int. J. Nonlinear Mechanics, 2011, no. 46(9), pp. 1195-1204.
[5] Li Q.S., Liu J., Tang J., Buckling of shallow spherical shells including the effects of transverse shear deformation. Int. J. Mechanical Sciences, 2003, no. 45 (9), pp. 1519-1529.
[6] Gavrushin S.S., Baryshnikova O.O., Boriskin O.F. Chislennyi analiz elementov konstruktsiy mashin i priborov [Devices and machines elements numerical analysis]. Moscow, BMSTU Publ., 2014, 479 p.
[7] Gavrushin S.S. Matematicheskoe modelirovanie i chislennye metody - Mathematical Modeling and Computational Methods, 2014, no. 1, pp. 115-130.
[8] Gavrushin S.S. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie - Proceedings of Higher Educational Institutions. Machine Building, 2011, no. 12, pp. 22-32.
[9] Valishvili N.V. Metody rascheta obolochek vrashcheniya na ETsVM [Methods for calculating the shells of revolution on a computer]. Moscow, Mashinostroenie Publ., 1976, 278 p.
[10] Feodosiev V.I. Prikladnaya matematika i mekhanika - Journal of Applied Mathematics and Mechanics, 1945, no. 9, pp. 389-412.