CAJ | 학술논문

针对空间桁架梁杆件多、载荷工况复杂、计算量大、内力图多等特点,运用节点法总结并归纳出桁架梁的各个杆件的内力计算递推公式,并用MATLAB软件进行了仿真计算。该方法是根据推导出的计算公式,运用数学变换来建立空间桁架梁数学模型,确定变量之间的函数关系,分步编制弦杆和腹杆的内力计算程序仿真输出数据和图形。通过仿真得到桁架梁的各杆件在不同的载荷组合工况下的受力情况,找出在最不利工况下的受力杆件,为结构的轻量化研究提供理论基础。
침대공간항가량간건다、재하공황복잡、계산량대、내력도다등특점,운용절점법총결병귀납출항가량적각개간건적내력계산체추공식,병용MATLAB연건진행료방진계산。해방법시근거추도출적계산공식,운용수학변환래건립공간항가량수학모형,학정변량지간적함수관계,분보편제현간화복간적내력계산정서방진수출수거화도형。통과방진득도항가량적각간건재불동적재하조합공황하적수력정황,조출재최불리공황하적수력간건,위결구적경양화연구제공이론기출。
For the characteristics of the space truss beam such as many bars,complex load cases,large amounts of calculation,internal force diagram,the node method was used to summarize and deduce a recursive formula which was used for calculating each internal force of the truss rod,and its simulation calculation could be conducted with software MATLAB.According to the calculation formula deduced,this method uses mathematical transformation to build a space truss beam mathematical model,to determine the functional relationship between variables,and then to simulate output data and graphics through outputting the internal force calculation program of the chords and web members step-by-step.The stress state of the truss rod under different load combinations conditions can be obtained through the simulation results,and the force-bearing rod under the most unfavorable conditions was found out to provide a theoretical foundation for structural lightweight research.