The principal vibration of a simple beam with elastic supports was analyzed and the analytical formulation of normal vibration mode was derived.

给出了弹性支承桥梁和车体的振动方程并通过对具有弹性支座简支梁主振动的分析，得出了梁主振型的解析公式。

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Then the paper used the projection operator to structure the normal coordinate component, thus combined 15 normal vibration patterns of propadiene molecule.

先对丙二烯振动模式进行分类及构造投影算符，再用投影算符构造简正坐标分量，从而组合出丙二烯分子的15个简正振动模式。

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Then the paper used the projection operator to structure the normal coordinate component, thus combined 15 normal vibration patterns of propadiene molecule.

先对丙二烯振动模式进行分类及构造投影算符，再用投影算符构造简正坐标分量，从而组合出丙二烯分子的15个简正振动模式。

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