Construction of the approximate stability equations of motion for an elastic cylindrical body under axial compressive load

• Autorzy: Banakh I. , Kolinko M.
• Języki publikacji: EN

Abstrakty

EN

A method of constructing nonlinear motion stability equations for isotropic elastic bodies is developed for cylindrical bodies of standard material of the 2nd order subjected to the action of “dead” axial compressive forces. The perturbation of the displacement vector is given by its approximate decomposition with respect to the base of tensor functions of the 1st, 2nd and 3d valences. The time-dependent tensor coefficients of the decomposition satisfy the system of ordinary differential equations. Based on the obtained equations one can investigate the balance stability of cylindrical bodies under various fixing conditions.

Słowa kluczowe

EN

elastic body; stress tensor; perturbation of displacement vector; stability equations of motion; standard material of the 2nd order; compresive load

• Wydawca: Polish Academy of Sciences, Branch in Lublin
• Czasopismo: ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
• Rocznik: 2014
• Tom: Vol. 3, No 4
• Strony: 69--73
• Opis fizyczny: Bibliogr. 17 poz., wz.

Twórcy

autor

Banakh I.

• Institute for Applied Problems of Mechanics and Mathematics, Ukraine

autor

Kolinko M.

• Lviv National Ivan Franko University, Ukraine

Bibliografia

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