CAJ | 학술논문

应用区间因子法分析了具有区间参数的弹性连杆机构的固有频率,将系统的刚度矩阵和质量矩阵分解为具有相同区间因子的矩阵之和的形式,利用区间因子法将区间变量表示为其区间因子和确定性量的乘积,再从求解系统固有频率的瑞利商公式出发,应用区间算法,推导出了系统固有频率上下限与均值的计算表达式。通过算例,分析了机构物理参数和几何尺寸的不确定性对机构固有频率的影响。
응용구간인자법분석료구유구간삼수적탄성련간궤구적고유빈솔,장계통적강도구진화질량구진분해위구유상동구간인자적구진지화적형식,이용구간인자법장구간변량표시위기구간인자화학정성량적승적,재종구해계통고유빈솔적서리상공식출발,응용구간산법,추도출료계통고유빈솔상하한여균치적계산표체식。통과산례,분석료궤구물리삼수화궤하척촌적불학정성대궤구고유빈솔적영향。
Based on interval factor method,system dynamic characteristic analysis for interval elastic linkage mechanisms was presented.Its stiffness matrix and mass matrix were discomposed into a sum of matrixes with same interval factors,respectively.By using interval factor method,the interval parameters can be all expressed as the products of two parts corresponding to the interval factors and deterministic value.Based on the Rayleigh＇s quotient formula,the computational expressions for the lower,upper bonds and mean value of system dynamic characteristic were developed using the interval operations.The effects of the uncertainty of the bar length and radius,mass density and elastic modulus on mechanism dynamic characteristics were studied through an example.