振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2015年
4期
98-103,216
,共7页
摩擦盘%振动%模态%局部非连续基函数法
摩抆盤%振動%模態%跼部非連續基函數法
마찰반%진동%모태%국부비련속기함수법
brake disc%vibration%model%local discontinuous basis function method
制动盘／摩擦块系统的制动过程属于局部接触振动问题。摩擦块局部接触（约束）会对系统模态及固有频率造成影响，进而影响制动噪声的产生。将刹车盘简化为一维循环梁结构，并建立了在摩擦块作用下的运动方程。首先计算无接触时梁自由振动的模态（参考模态）。然后用线性弹簧代替局部接触，列写出连续条件并计算模态，得到所谓局部非连续基函数。将局部非连续基函数与参考模态进行正交化处理后，作为参考模态的补充，用于计算系统响应。与差分法结果比较表明，与传统模态方法相比，局部非连续基函数法更为准确。研究发现局部接触会抑制循环结构振动的对称性，导致正弦或余弦模态消失，以及刚度非线性和摩擦作用，会使振动是波动型的。该工作为基于局部非连续基函数法研究摩擦结构不稳定振动机理打下了基础。
製動盤／摩抆塊繫統的製動過程屬于跼部接觸振動問題。摩抆塊跼部接觸（約束）會對繫統模態及固有頻率造成影響，進而影響製動譟聲的產生。將剎車盤簡化為一維循環樑結構，併建立瞭在摩抆塊作用下的運動方程。首先計算無接觸時樑自由振動的模態（參攷模態）。然後用線性彈簧代替跼部接觸，列寫齣連續條件併計算模態，得到所謂跼部非連續基函數。將跼部非連續基函數與參攷模態進行正交化處理後，作為參攷模態的補充，用于計算繫統響應。與差分法結果比較錶明，與傳統模態方法相比，跼部非連續基函數法更為準確。研究髮現跼部接觸會抑製循環結構振動的對稱性，導緻正絃或餘絃模態消失，以及剛度非線性和摩抆作用，會使振動是波動型的。該工作為基于跼部非連續基函數法研究摩抆結構不穩定振動機理打下瞭基礎。
제동반／마찰괴계통적제동과정속우국부접촉진동문제。마찰괴국부접촉（약속）회대계통모태급고유빈솔조성영향，진이영향제동조성적산생。장찰차반간화위일유순배량결구，병건립료재마찰괴작용하적운동방정。수선계산무접촉시량자유진동적모태（삼고모태）。연후용선성탄황대체국부접촉，렬사출련속조건병계산모태，득도소위국부비련속기함수。장국부비련속기함수여삼고모태진행정교화처리후，작위삼고모태적보충，용우계산계통향응。여차분법결과비교표명，여전통모태방법상비，국부비련속기함수법경위준학。연구발현국부접촉회억제순배결구진동적대칭성，도치정현혹여현모태소실，이급강도비선성화마찰작용，회사진동시파동형적。해공작위기우국부비련속기함수법연구마찰결구불은정진동궤리타하료기출。
Braking process of a brake disc is a vibration problem with local contacting,local contact has an influence on the modes and natural frequencies of the disc system.The method of local discontinuous basis function can be used to estimate the modes of the system accurately.Here,a brake disc contacted by a brake boot or a friction block was simplified as a one-dimensional beam with loop structures.Its equation of motion was established.Firstly,the free vibration modes of the beam without contact defined as the reference modes were calculated.Then the contact of the friction block was simplified as several linear springs.Using the continuous conditions,the system's modes were calculated and orthogonalized with the reference modes,they were taken as the supplements of the reference modes and named the local discontinuoas basis functions.They were used to calculate the system response.Based on the discontinuous mode analysis,vibration of the brake disk under action of external excitation is calculated.The results showed that the local discontinuous basis function method is more accurate than the traditional modal method;the local contact of the friction piece can restrain the vibration symmetry of the brake disc to lead to disappearance of sine or cosine modes;nonlinear stiffness and friction make the vibration be wave type.This study laid a foundation for studying unstable vibration mechanism of structures with friction using the local discontinuous basis function method.
