CAJ | 학술논문

为了探寻变截面梁静动力特性和静动力反应的解法, 从梁的弯矩与所受分布力关系的方程和梁的挠度与弯矩/抗弯刚度关系的方程具有相似性出发, 将待求解梁的弯矩/抗弯刚度当作与该梁共轭的虚梁的虚荷载, 进而根据静力等效的原则, 将连续分布的虚荷载转换成虚集中力后计算虚集中力作用下虚梁的虚剪力、虚弯矩. 依据实梁与虚梁的对应关系, 虚剪力与虚弯矩就是实梁的截面转角和挠度, 得到了原来实梁问题的解答. 结果表明, 该方法概念明确、计算工作量较小, 可以推广应用于变截面连续梁与刚架等结构的静动力反应分析.
위료탐심변절면량정동력특성화정동력반응적해법, 종량적만구여소수분포력관계적방정화량적뇨도여만구/항만강도관계적방정구유상사성출발, 장대구해량적만구/항만강도당작여해량공액적허량적허하재, 진이근거정력등효적원칙, 장련속분포적허하재전환성허집중력후계산허집중력작용하허량적허전력、 허만구. 의거실량여허량적대응관계, 허전력여허만구취시실량적절면전각화뇨도, 득도료원래실량문제적해답. 결과표명, 해방법개념명학、 계산공작량교소, 가이추엄응용우변절면련속량여강가등결구적정동력반응분석.
In order to seek a new way to solve problems in static/dynamic characteristics and in static/dynamic responses of a variable cross-section beam, due to the similarity of moment-distributive force relation to displace-ment-ratio of moment to flexural rigidity ( RMF) relation, the RMF of a real beam was treated as virtual distrib-utive force of corresponding virtual beam.According to statically equivalent principle, the virtual distributive force was hence converted to virtual concentrated force, thus virtual shear forces, virtual bending moments un-der virtual concentrated force can be easily calculated.Following analogical relations, the virtual shear forces and the virtual bending moments are section rotation angles and displacements of the real beam, respectively. Results show that this approach has both clear concepts and lower calculating cost , and can also be used in sol-ving variable continuous beams and rigid frames.