Symplectic solutions of annular sector plate clamped along two circular edges with circumfluent coordinate treated as time

Based on the analogy between plane elasticity and thin Kirchhoff plate bending problems, with circumferential coordinate treated as time, the paper discussed bending problems of thin elastic annular sector plate clamped along two circular edges. Eigen solutions with zero eigenvalues and non-zero eigenvalues are obtained, and the forms are simple. This new solution is expressed in an analytical form. The computational example of an annular plate, with both two circular and two straight edges clamped, demonstrates the accuracy and effectiveness of our method.