引入运算符号，导得其频率方程和振型函数的解析表达式。

Furthermore, a reccursion formula of the operational symbol is introduced.

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引入运算符号，导得带任意个集中质量的梁弯曲振动频率方程和振型函数新的解析表达式。

By means of a symbol of operation, the new analytical expressions of the frequency equation and the modal function of lateral vibration of a beam with lumped masses were derived.

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他的讲话文本得加上标点符号。

The transcription of his speech must be punctuated.

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