In this paper the nano conical shell model is developed based on modified strain gradient theory. The governing equations of the nano truncated conical shell are derived using the FSDT, and the size parameters through modified strain gradient theory have been taken into account. Hamilton’s principle is used to obtain the governing equations, and the shell’s equations of motion are derived with ...

In this paper, the integro-differential equations of natural oscillations a viscoelastic ribbed truncated conical shell are obtained based on Lagrange variational equation. The general research methodology is principles mechanics and methods. Geometrically nonlinear mathematical models deformation shells obtained, considering such factors as discrete introduction edges. Based finite element met...

We study the existence, localization and multiplicity of positive solutions for a nonlinear fourth-order two-point boundary value problem. The approach is based on critical point theorems in conical shells, Krasnosel’skĭı’s compression-expansion theorem, and unilateral Harnack type inequalities.

SUMMARY This Report considers theoretically and experimentally some of the problems associated with the flexure of two unequal cylindrical shells Joined by a conical frustum. Particular attention is given to the determination of the overall flexursl stiffness of the conical frustum and to structural design considerations associated with the provision of a separation capability in the frustum. T...

Article history: Received 5 February 2008 Available online 12 August 2008 This work is dedicated to the memory of Professor Liviu Librescu