Optimal Vibration Support of Continuous Systems : 3rd Report, Maximization of Difference Between Adjacent Frequencies

Abstract

Using the support position as the design variable, the optimal designs of vibtrating beams and plates are determined to maximize the defference between two adjacent natural frequencies. A previously developed gradient technique is used for optimization. Numerical examples include continuous nouniform veams and cantilever square plates. The transfer matrix and Ritz-Langrange multiplier methods are used to yield freqency equations. The iterative solution process for the optimal support is illustrated on frequency maps.