Theory of Flexible Mesh-Type Shallow Kirchhoff-Love Structures Based on the Modified Couple Stress Theory View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2020-06-04

AUTHORS

Irina V. Papkova , Nikita Jan Awrejcewicz , Anton V. Krysko , Ekatarina Yu Krylova , Vadim A. Krysko

ABSTRACT

In this work a generalization of the Pshenichnov theory is introduced which is devoted to study of rectangular in plane structures composed of meshed shells with two families of mutually perpendicular ribs. It is based on an account of higher order couple stresses while employing the classical modified couple stress theory. The considerations are based on the Kirchhoff-Love theory including von Kármán geometric nonlinearity. The worked out algorithms are aimed on reduction of the governing PDEs to ODEs using the FDM (finite difference method) of the second order. The obtained Cauchy problem is solved with a help of the 4th order Runge-Kutta method, whereas the static problems are solved using the set-up method. Convergence of the proposed computational scheme is validated with regard to spatial and time coordinates. Computational examples are provided. More... »

PAGES

331-344

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-030-47491-1_17

DOI

http://dx.doi.org/10.1007/978-3-030-47491-1_17

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1128192412


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