Чувствительность собственных форм колебаний систем с несколькими степенями свободы к варьированию параметров динамической системы

Abstract

The paper presents a new approach to the study of the sensitivity of the natural frequencies and mode shapes to the variation of parameters of the dynamic system. Eigen modes are determined from the condition of the conditional minimum of Rayleigh function. The relations for determining the changes in natural frequencies and mode shapes at varying inertial stiffness characteristics of the dynamic system. Proposed new relations for the components of the sensitivity using finite differences. This definition of the spectrum of natural vibration frequencies and natural modes is carried out by finite element method.