...–Galerkin method where orthogonal polynomials are used. In RSM , non-dimensional rotating speed ( Ω m R 4 E I ) and non-dimensional stiffness ( E I m Ω 2 R 4 ) are varied to solve the optimization problem for the rotating beam. The approximate equations...

... information of variables. Second, the performance function is decomposed as a summation of component functions that can be approximated through a series of orthogonal polynomials. Third, the truncated maximum order of the orthogonal polynomial functions is determined through the nonlinear judgment method...