THERMALLY INDUCED VIBRATIONS OF A RIGHT-ANGLED ISOTROPIC ISOSCELES TRIANGULAR PLATE ON ELASTIC FOUNDATION

Abstract

The solution to the thermal shock-induced vibration, of a right- angled isotropic isosceles triangular plate on elastic foundation, is obtained in a closed form. Nodal lines are also located. Incidentally this confirms the :ruth of the assumed boundary conditions.

In this paper vibrations of an isotropic right-angled isosceles triangular plate, due to a thermal shock, have been investigated. The solution presented is a rigorous one, since it is not based on assumptions of the type underlying strength of materials analyses.

The plate is considered free of external tractions. The problem is solved In terms of a double trigonometric series. The complete solution is derived from the sum of two deflections-quasi-static and dynamic. The dynamic solution is qbtained by the method of Laplace transform.

The results obtained are exhibited in graphs which are found to be qualitatively similar to those of standard works.

Location of nodal lines confirm the validity of the assumed boundary conditions.