Dynamic analysis of annular sector plate with general boundary supports

Dynamic behavior of annular sector plate is an important research topic since they have been extensively used in practical engineering applications. However, the dynamic analysis of annular sector plates with general boundary supports is rarely studied in literature. In this investigation, an analytical method is presented for the vibration analysis of annular sector plates with general elastic boundary supports. Unlike most existing framework, arbitrary elastic boundary supports can be easily realized by setting the stiffness of the two types restraining springs. The displacement field is universally expressed as a new form of trigonometric series expansions with a drastically improved convergence as compared with the conventional Fourier series. Mathematically, such a double Furies series is capable of representing any function (including the exact displacement solution) whose third-order partial derivatives are continuous over the area of the plate. Thus, the double Fourier series solution to the dynam...