Stubbs（1985）和Stubbs and Osegueda（1987）建立了一个结构单元刚度变化与模态刚度 （modal stiffness）变化之间关系的表达式，以此来根据测量数据确定损伤的单元（损伤位置）。 作者应用数值例子检测了该方法的实用性。
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模态是结构的固有振动特性，每一阶模态都具有特定的固有频率、阻尼比、振型、模态刚度和模态质量。
Mode is structure's inherence characteristics, each mode has specifically resonant frequencies, damping values, mode shapes, mode stiffness and mode mass.
依据设计原则，利用模态刚度矩阵、模态质量矩阵和模态频率相似进行了扭振模拟机轴系的设计，扭振模拟机轴系前三阶固有特性与实际机组轴系扭振动特性基本一致。
By modal stiffness matrix, modal mass matrix and modal frequency, shaft units of simulator is designed. The former three steps natural characteristics are identical with the real units'.
从根本上讲，这些特性依赖于结构的质量和刚度，它决定了固有频率和模态振型何处存在。
Basically, there are characteristics that depend on the weight and stiffness of my structure which determine where these natural frequencies and mode shapes will exist.
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