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介绍了两跨和三跨等跨弹性支座连续梁的振动简便计算方法,采用能量法,把梁上作用的诸多集中质量简化为均布质量,把梁在均布静质量作用下的变形曲线视为梁的振动振型,推导出了计算前三个振型的自振频率公式,可以采用振型分解法计算梁的强迫振动。通过实际工程应用表明,该方法能较好地满足控制工程振动的需要,可供设计工程师及有关人员在设计和研究中参考应用。
In this paper, the simple vibration method for two-span and three-span continuous beams with elastic supports is introduced. By using the energy method, the concentrated masses acting on the beam are reduced to the uniform mass. The deformation curves of beam under uniform static mass effect are regarded as The vibration mode of the beam is deduced. The formulas for calculating the natural frequencies of the first three modes are deduced. The mode decomposition can be used to calculate the forced vibration of the beam. The practical engineering application shows that this method can better meet the needs of controlling the vibration of the project, and can be used for design engineers and relevant personnel in the design and study of reference applications.