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| 1 | Minimum Control Energy of Spatial Beam with Assumed Attitude Adjustment Target显示文摘The dynamic analysis on the ultra-large spatial structure can be simplified drastically by ignoring the flexibility and damping of the structure.However,these simplifications will result in the erroneous estimate on the dynamic behaviors of the ultra-large spatial structure.Taking the spatial beam as an example,the minimum control energy defined by the difference between the initial total energy and the final total energy in the assumed stable attitude state of the beam is investigated by the structure-preserving method proposed in our previous studies in two cases:the spatial beam considering the flexibility as well as the damping effect,and the spatial beam ignoring both the flexibility and the damping effect.In the numerical experiments,the assumed simulation interval of three months is evaluated on whether or not it is long enough for the spatial flexible damping beam to arrive at the assumed stable attitude state.And then,taking the initial attitude angle and the initial attitude angle velocity as the independent variables,respectively,the minimum control energies of the mentioned two cases are investigated in detail.From the numerical results,the following conclusions can be obtained.With the fixed initial attitude angle velocity,the minimum control energy of the spatial flexible damping beam is higher than that of the spatial rigid beam when the initial attitude angle is close to or far away from the stable attitude state.With the fixed initial attitude angle,ignoring the flexibility and the damping effect will underestimate the minimum control energy of the spatial beam. | Weipeng Hu Lingjun Yu Zichen Deng | 2020 | Acta Mechanica Solida Sinica2020，33，1： | 4 |
| 2 | 温度场下岛-桥结构屈曲薄膜的动力学分析显示文摘基于岛-桥结构的柔性电子器件已被用于健康监测和皮肤电子等领域.但是柔性电子器件在工作中极易受工作温度变化等激励产生振动,进而影响器件的灵敏度与可靠性.因此论文研究在温度场作用下岛-桥结构屈曲薄膜的动力学问题.首先,基于Euler-Bernoulli梁理论,建立温度场作用下岛-桥结构屈曲薄膜的动力学控制方程.其次,通过引入新变量,将原动力学方程引入Hamilton体系中,得到相应的Hamilton正则方程.随后,采用辛Runge-Kutta方法求解该Hamilton正则方程,并与经典Runge-Kutta方法对比,数值结果显示了辛算法在求解非线性动力学方程时高精度、高数值稳定性的优势,进一步讨论了温度变化量、预应变、阻尼系数等对屈曲薄膜动力学响应的影响.论文研究为柔性电子器件动力学设计提供了理论参考. | 吴文斌 王博 王振洋 周煜棠 邓子辰 | 2021 | 固体力学学报2021，42，5： | 0 |
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