Registration Number
0213U004787,
0113U002815
, R & D reports
Title
Construction of refined equations of motion for three-layer elements of thin-walled constructions concerning the problems of structural acoustics.
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Head
Marchuk Mykhaylo Volodymyrovych, Доктор фізико-математичних наук
Registration Date
25-12-2013
Organization
Pidstryhach Institute of Applied Problems of Mechanics and Mathematics NAS of Ukraine
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Object of study - the stress-strain state of layered composite thin-walled elements of constructions taking into account the discreteness of structure in thickness and pliability of components to transversal shear and compression by the action of an acoustic load. Purpose - the development of physically-based models of the dynamic behavior for layered composite thin-walled elements of constructions in the interaction of low-and high-frequency by acoustic environments based on the discreteness structure in thickness. Research methods - methods of mechanics of deformable bodies and method of expansion of functions in series of Legendre polynomials. The variant of refined theory of geometrically nonlinear dynamic deformation pliable to shear and compression orthotropic shells with exact satisfaction of the boundary conditions in stresses on the facial surfaces of the passage to the limit value which is obtained by a linear deformation is constructed. On the based of analysis for linear transverse deformation of thin elastic layer the legitimacy approximation of displacement by linear expressions in the normal coordinates is justified. At considering discrete layered plates of pliable to the transversal shear and compression components under conditions of ideal mechanical contact on the divides plane the relations describing their dynamic deformation are obtained. Two-dimensional refined equations of vibrations for three-layered rectangular plates and cylindrical shells with the influence of the environment in the form of an acoustic load are constructed.
Product Description
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Горячко Т.В.
Максимук О.В.
Марчук М.В.
Пакош В.С.
Тучапський Р.І.
Хом'як М.М.
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2020-04-02
