Free vibration response of a three-node shear flexible finite element for moderately deep shells

摘要

A free vibration response of a shear-locking free isoparametric shear flexible three-node triangular finite element suitable for moderately deep shell configurations is presented. The moderately deep shell configuration based on the Sanders' shell theory is incorporated into the element formulation. A shear correction term is introduced in transverse shear strain components to alleviate the shear-locking phenomenon. The element is developed with a full integration scheme. Natural frequencies and mode shapes are obtained and compared for doubly curved shells with the available analytical and finite element solutions.