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Fundamental Frequency of Rocket and Missile Upper Stages: Quick Preliminary Design Solution

机译:火箭和导弹高层的基本频率:快速初步设计解决方案

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摘要

A simple formula for the free vibration behavior of the upper stage of a rocket or missile has been presented. This problem is treated mathematically as a spring-hinged cantilever beam with a concen- trated mass and rotary inertia at the free end. The Rayleigh-Ritz method was used to obtain the fundamental frequency from suit- ably derived admissible functions that represent the spring-hinged boundary condition. Note that the fundamental frequencies obtained in the present study agree very well with those obtained by using a very accurate finite element method.
机译:给出了火箭或导弹上部自由振动行为的简单公式。该问题在数学上被视为弹簧铰接的悬臂梁,其自由端的质量和旋转惯性均集中。瑞利-里兹(Rayleigh-Ritz)方法用于从适当导出的表示弹簧铰接边界条件的容许函数中获得基频。注意,本研究中获得的基频与使用非常精确的有限元方法获得的基频非常吻合。

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