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带控制面机翼结构基于弧长数值连续法的颤振特征研究 被引量:1
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作者 陈恒 王扬渝 金江明 《应用数学和力学》 CSCD 北大核心 2017年第7期769-779,共11页
以三自由度二元机翼为研究对象,将浮沉位移和俯仰位移方向的非线性刚度简化为立方非线性,对于存在间隙的控制面采用双线性刚度代替.考虑准定常气流,建立气动弹性运动方程,通过数值模拟构造峰值-峰值图,反映其在不同气流速度下的振动特征... 以三自由度二元机翼为研究对象,将浮沉位移和俯仰位移方向的非线性刚度简化为立方非线性,对于存在间隙的控制面采用双线性刚度代替.考虑准定常气流,建立气动弹性运动方程,通过数值模拟构造峰值-峰值图,反映其在不同气流速度下的振动特征.通过弧长数值连续法构造系统的分岔图,结合Floquet算子研究其稳定性及其分岔类型,所得分岔图和数值模拟的结果相吻合.由分岔图可得系统由于控制面双线性的存在,导致机翼结构振动形态多变,存在多个分岔点和多个不稳定区间,不仅存在极限环振动和非光滑准周期振动,而且在某些不稳定区间出现混沌现象. 展开更多
关键词 气动弹性系统 峰值-峰值图 数值连续法 极限环 分岔
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数值连续法解非线性差分方程的可行性
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作者 钮群 《计算机应用与软件》 CSCD 1994年第5期1-9,44,共10页
解非线性偏微分方程数值解问题通常可归结为解非线性差分方程组。解非线性方程组的数值连续法是扩大给定方法收敛域的一种尝试。本文正是利用这种方法研究了非线性二阶偏微分方程第一类边值问题数值解的计算问题,并给出检验其算法为可... 解非线性偏微分方程数值解问题通常可归结为解非线性差分方程组。解非线性方程组的数值连续法是扩大给定方法收敛域的一种尝试。本文正是利用这种方法研究了非线性二阶偏微分方程第一类边值问题数值解的计算问题,并给出检验其算法为可行的充分条件。 展开更多
关键词 差分方程 非线性 数值连续法
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Simulation of crack coalescence mechanism underneath single and double disc cutters by higher order displacement discontinuity method 被引量:5
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作者 Mohammad Fatehi Marji 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第3期1045-1054,共10页
The present research is focused on the numerical crack coalescence analysis of the micro-cracks and cracks produced during the cutting action of TBM disc cutters. The linear elastic fracture mechanics(LEFM) concepts a... The present research is focused on the numerical crack coalescence analysis of the micro-cracks and cracks produced during the cutting action of TBM disc cutters. The linear elastic fracture mechanics(LEFM) concepts and the maximum tangential stress criterion are used to investigate the micro crack propagation and its direction underneath the excavating discs. A higher order displacement discontinuity method with quadratic displacement discontinuity elements is used to estimate the stress intensity factors near the crack tips. Rock cutting mechanisms under single and double type discs are simulated by the proposed numerical method.The main purposes of the present modeling are to simulate the chip formation process of indented rocks by single and double discs.The effects of specific disc parameters(except speed) on the thrust force Ft, the rolling force Fr, and the specific energy ES are investigated. It has been shown that the specific energy(energy required to cut through a unit volume of rock) of the double disc is less than that of the single disc. Crack propagation in rocks under disc cutters is numerically modeled and the optimum ratio of disc spacing S to penetration depth Pd(i.e. S/Pd ratio) of about 10 is obtained, which is in good agreement with the theoretical and experimental results cited in the literature. 展开更多
关键词 TBM disc cutter double discs cracks coalescence higher-order displacement discontinuity method specific energy
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