Optimal vibration control of continuous structures by FEM: Part Ⅰ―the optimality equations

摘要

The governing equations of the problem of optimal vibration control of continuous linear structures are derived in the form of a set of fourth-order ordinary differential equations in the time domain. The equations decouple in the modal space and become suitable for handling by the FEM technique with the time domain subdivided into 'finite time' elements of class C~1. It is demonstrated that the standard beam element with cubic Hermitian interpolation functions, routinely used in a static analysis of beams, can conveniently be substituted for the required 'finite time' element.