“Vibration Problem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Vibration Problem

释义

Vibration Problem

Solution of a system of second-order homogeneous ordinary differential equations with constant Coefficients of the form

where B is a Positive Definite Matrix. To solve the vibration problem,

: 1. Solve the Characteristic Equation of B to get Eigenvalues , ...,. Define .
: 2. Compute the corresponding Eigenvectors , ..., .
: 3. The normal modes of oscillation are given by , ..., , where , ..., and , ..., are arbitraryconstants.
: 4. The general solution is .

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