CAJ | 학술논문

推导出了一个适用于槽板结构压膜空气阻尼的微分方程.该方程与传统雷诺方程的区别是在雷诺方程的左边增加了一个用以表示气体从槽流出所引起的阻尼效应的修正项,并考虑了槽中有限气流通道长度的端头修正.在适当的边界条件下,利用此方程可以求解槽板压膜阻尼的压强分布、阻尼力和阻尼力系数.该槽板结构压膜空气阻尼的微分方程对槽板的厚度和横向尺度没有限制,为分析有限尺寸和有限厚度槽板的压膜空气阻尼提供了一个有用的方法.
추도출료일개괄용우조판결구압막공기조니적미분방정.해방정여전통뢰낙방정적구별시재뢰낙방정적좌변증가료일개용이표시기체종조류출소인기적조니효응적수정항,병고필료조중유한기류통도장도적단두수정.재괄당적변계조건하,이용차방정가이구해조판압막조니적압강분포、조니력화조니력계수.해조판결구압막공기조니적미분방정대조판적후도화횡향척도몰유한제,위분석유한척촌화유한후도조판적압막공기조니제공료일개유용적방법.
A differential equation for calculating squeeze-film air damping in slotted plates is developed by modifying the Reynolds equation. A term is added to account for the effect of airflow through the slots on the air damping of the plate. The end effect of the airflow in the slots is also treated by substituting an effective channel length for the geometric channel length (i. e. the thickness of the plate). The damping pressure distribution, damping force, and damping force coefficient of the slotted plates can be found by solving the equation under appropriate boundary conditions. With restrictions on the thickness and the lateral dimensions of the slotted plate removed,the equation provides a useful tool for analysing the squeeze-film air damping effect of slotted plates with finite thickness and finite lateral dimensions. For a typical slotted plate structure, the damping force coefficient obtained by this equation agrees well with that generated by ANSYS.