摘要
针对在结构或试件加卸载试验中的滞回曲线数据,通过确定位移数据中正负号改变的点自动提取出数据中包含的各滞回环,利用格林公式证明了计算平面多边形面积的鞋带公式,改进了计算各滞回环耗能的算法,使用凸包方法给出确定上下骨架曲线的自动生成方法.给出了各方法的对应Matlab程序,并用9组滞回环数据进行测试对比,验证了所给方法和程序的有效性.
For hysteretic curve data in the loading and unloading experiment of structure or specimen,the hysteretic loops contained in the data are automatically extracted by determining the points whose sign changes in the displacement data.The shoelace formula for calculating the area of planar polygon is proved by using Green′s formula.The algorithm for calculating the energy consumption of each hysteretic loop is improved,and the automatic generation method for determining the upper and lower skeleton curves is given by using convex hull method.The corresponding Matlab programs are given,and nine groups of hysteresis data are used to test and compare,which verifies the effectiveness of the methods and programs.
作者
王福昌
贺财宝
WANG Fuchang;HE Caibao(Department of Basic Courses,Institute of Disaster Prevention Science and Technology,Sanhe 065201,China)
出处
《高师理科学刊》
2021年第10期11-15,共5页
Journal of Science of Teachers＇College and University
基金
2021年防灾科技学院研究生示范课程——高等工程数学
防灾科技学院高等数学金课建设(JK201912)。
关键词
滞回环
格林公式
鞋带公式
凸包
骨架曲线
hysteresis loop
Green′s formula
shoelace formula
convex hull
skeleton curve
