【作者】 刘传孝；

【Author】 Liu Chuanxiao (Institute of Resource and Environment Engineering, Shandong University of Science and Technology, Taian 271019 China)

【机构】 山东科技大学资源与环境工程学院；

【摘要】 通过对大量岩石试样的MTS力学实验数据序列的非线性动力学分析,充分考虑到LE1—m关系中普遍存在的阶跃现象,构造了单位阶跃函数并引入到最大Lyapunov指数的判别模型中,建立了确定最大Lyapunov指数的新准则。分别在传统准则与新准则的指导下,进行了砂岩全应力应变曲线分段特征的比较研究,得出新准则更符合确定最大Lyapunov指数的理论条件,应用效果优于传统准则。本文研究成果对混沌动力学基础研究具有一定的理论价值。更多还原

【Abstract】 A new rule to determine the largest Lyapunov exponent is established by analyzing time serials from MTS test with nonlinear dynamics. An unit-step function involving step features is introduced into the LE1-m mathematical model to determine the largest Lyapunov exponent. Comparing consults to value stage features of whole strain-stress curves of sandstone specimens with traditional rule and the new rule, this paper finds that the new rule confirms theoretic conditions to determine the largest Lyapunov exponent even more. Conclusions of the paper are important to basic theoretic research of chaotic dynamics.更多还原