摘要
保证薄拱坝水平拱圈在地震作用下的稳定性是拱坝设计的前提.针对抛物线形水平拱圈,利用总势能不变值原理建立了水平拱圈扁拱模型的非线性振动方程;基于突变理论分析了扁拱的响应在特定条件下具有非线性突变特征,给出水平拱圈动力稳定的条件;通过与他人的实验和数值分析结果的对比分析,得出了水平拱圈不发生动力失稳破坏的“动力稳定裕度”限值为5.54,小于该限值即发生失稳破坏.本文提出的“动力稳定裕度”限值与他人对拱坝的地震分析结果吻合较好,因此该动力稳定裕度限值可为拱坝的抗震评估及初步设计提供有益的参考.
It is the premise of arch dam design to ensure the stability of horizontal arch ring of thin arch dam under earthquake.Aiming at parabolic horizontal arch circle,the nonlinear vibration equation of horizontal arch circle flat arch model is established based on the principle of constant total potential energy.Based on the mutation theory,the nonlinear abrupt change characteristics of flat arch response under certain conditions are analyzed,and the dynamic stability conditions of horizontal arch ring are obtained.By comparison and analysis with the experimental and numerical analysis results of others,it is concluded that the limit value of"dynamic stability margin"of horizontal arch circle without dynamic instability failure is 5.54,and if it is less than this limit value,the instability failure will occur.The limit value of"dynamic stability margin"proposed in this paper is in good agreement with the seismic analysis results of others on arch dams.Therefore,the limit value of dynamic stability margin can provide a useful reference for seismic evaluation and preliminary design of arch dams.
作者
孙敦本
任青文
SUN Dunben;REN Qingwen(School of Civil Engineering,NanJing Forestry Univ.,Nanjing 210037,China;College of Mechanics and Materials,HoHai Univ.,Nanjing 211100,China)
出处
《三峡大学学报（自然科学版）》
CAS
2023年第5期45-49,共5页
Journal of China Three Gorges University：Natural Sciences
基金
国家自然科学基金重点项目(51739006)。
关键词
拱坝
水平拱圈
突变
动力稳定裕度
arch dam
horizontal arch ring
mutation
dynamic stability margin
