Influence of reinforcement and elastic foundation on the vibrations of shallow shells with rectangular planform

Abstract

A method for determining the natural frequencies and modes of ribbed shallow shells with rectangular planform on an elastic foundation is developed. The method takes into account the discrete arrangement of the ribs. A shallow spherical shell with square planform is considered as example to analyze the effect of the number of ribs and the Winkler and Pasternak coefficients of subgrade reaction on the natural frequencies and modes. It is recommended to take into account the discrete arrangement of ribs when they are few

Free Vibration Analyses of Stiffened Functionally Graded Graphene-Reinforced Composite Multilayer Cylindrical Panel

“…The natural frequency response of stiffened cylindrical shells in accordance with higher-order theory determined by applying the Carrera unified formulation (CUF) was examined by Carrera, Zappino and Filippi [20]. Lugovoi and Prokopenko [21] studied the impact of an elastic foundation and reinforcement on the vibration response of shallow shells with a rectangular planform. Shahani and Kiarasi [22] studied the influence of a ring and stringer on the stability of thin cylindrical shells based on FSDT numerically and experimentally.…”

An analytical method for shallow spherical shell free vibration on two-parameter foundation

“…V. Skosarenko [10]. Influence of reinforcement and the Winkler and Pasternak Foundation on the vibrations of shallow shells with rectangular planform was discussed by Lugovoi et al [11]. Free vibration analysis of functionally graded doubly curved shell panels resting on elastic foundation in thermal environment was researched by Tran et al [12].…”