A previously developed estimation technique, of the minimum energy required for complete fin deployment under an operational requirement of gust speed, was modified to consider time consumed for fin unfolding as an additional requirement, which might lead to an increase of the required energy. Some modifications were made such as non-zero kinetic energy of unfolding fin when completely deployed and its monotonically increasing angular speed during unfolding motion having a profile of square-root function which helped to properly evaluate elapsed time for fin unfolding and to combine the additional time constraint with the fin folding motion equation including external moments of aerodynamics, gravitation, and friction, while, in the previous study, zero energy and bell-shaped speed profile had been used. Demonstrations of this estimation technique considering the time constraint additionally to the gust speed requirement were carried out with the same unfolding fin system and torque profiles used in the previous study and showed that unfolding systems equipped with energy estimated by this technique met all the given gust requirement and time constraint, irrespective of their torque profile, in terms of elapsed time for fin unfolding and allowable wind speed denoting the maximum speed of gust against which in every direction fin could deploy.

修改了先前开发的估算技术，该估算技术在阵风速度的运行要求下完整散热片部署所需的最小能量，已将散热片展开所花费的时间作为附加要求加以考虑，这可能会导致所需能量的增加。进行了一些修改，例如完全展开时展开鳍的非零动能以及展开运动期间其单调增加的角速度，具有平方根函数的轮廓，这有助于正确评估鳍展开的经过时间并结合额外的时间鳍折叠运动方程的约束包括空气动力学，重力和摩擦的外部力矩，而在先前的研究中，零能量和钟形速度曲线已被使用。