CAJ | 학술논문

文章以动力学方程为基础，得出关于两端弹性固定纵向受压梁的横向固有频率与压力荷载的精确表达式；通过变分得出其近似表达式。两端弹性固定端选取四种典型刚性系数为例，辅以图示法将精确解与近似解进行比较，得到自由端附有质量的轴压悬臂梁的固有频率的平方与轴向力呈近似线性关系的结论。通过计算，近似解与精确数值解相差很小，精度满足工程上的要求。以此为依据，只要能够测出两种不同载荷下的固有频率，就可以通过近似线性的结论识别出两端弹性固定受压结构的弹性失稳荷载，因此文中提出了一种无损检测的分析方法。
문장이동역학방정위기출，득출관우량단탄성고정종향수압량적횡향고유빈솔여압력하재적정학표체식；통과변분득출기근사표체식。량단탄성고정단선취사충전형강성계수위례，보이도시법장정학해여근사해진행비교，득도자유단부유질량적축압현비량적고유빈솔적평방여축향력정근사선성관계적결론。통과계산，근사해여정학수치해상차흔소，정도만족공정상적요구。이차위의거，지요능구측출량충불동재하하적고유빈솔，취가이통과근사선성적결론식별출량단탄성고정수압결구적탄성실은하재，인차문중제출료일충무손검측적분석방법。
Basing on the dynamics equation, the exact expression for horizontal natural frequency and pres-sure loads of the axis pressure beam fixed at both ends with allowed angel is obtained; the approximate ex-pression is derived from the variational method. Take four kinds of typical rigidity coefficients for example at both elastic fixed, graphic method as an auxiliary to compare the exact solution and approximate solution, the conclusion of the relationship between the square of the natural frequency and the axial force of the axis pressure beam fixed at both ends with allowed angel can be obtained, which is approximately linear re-lationship. By calculating, it is shown that the difference between the approximate solution and the exact nu-merical solution is small, and the accuracy can meet the engineering requirements. As a basis, as long as the natural frequency in two different load can be measured, the elasticity instability load of the compression structure fixed at both ends with allowed angel can be identified by approximately linear conclusion, and therefore an identification method of instability load is presented.