Minimum Weight Design of Rotating Pretwist Cantilevered Beam under Frequency and/or Dynamic Response Constraints

The objective of this paper is to find the minimum weight design of rotating pretwist cantilevered beam system under periodic loads with frequency and/or dynamic response constraints. The cross-section area of the beam with some limitations (side constraints) are the system design variables. The algorithms of the optimality criterion method (OCM) and the modified method of feasible directions (MMFD) are employed for the optimal design of the system. Numerical results show that the optimum design sensitivity highly depends on both the pretwist angle and setting angle for the multiple frequency constraint case. For the dynamic response constraint case, the optimum design sensitivity only significantly depends on the setting angle.