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首页> 外文期刊>Engineering Optimization >Optimal size, shape, and control design in dynamics of planar frame structures under large displacements and rotations
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Optimal size, shape, and control design in dynamics of planar frame structures under large displacements and rotations

机译：大位移和旋转下平面框架结构动力学的最佳尺寸，形状和控制设计

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摘要

Size, shape, and drive optimization procedures are combined with an energy-conserving time-integration scheme for the dynamic analysis of planar geometrically non-linear frame structures undergoing large overall motions. The solution method is based on the finite-element formulation, employing the classical displacement-based planar beam finite elements described in an inertial frame. Finite axial, bending, and shear strains are taken into account. If the system is conservative, the energy and momenta conservation in the discrete system during motion is guaranteed. Size, shape, and drive design variables are introduced into the model. Shape parameterization is achieved by the design element technique, using Bezier patches. The sensitivity analysis is performed by the discrete approach and the analytical direct differentiation method. A gradient-based optimization method, using an automatically adjustable convex approximation technique, is employed. The efficiency and the applicability of the approach are demonstrated via numerical examples. The shape and the driving function of a load-moving robot arm are optimized to reduce oscillations in its final position. The shape of a steel frame is optimized to reduce oscillations after an idealized ground motion jerk.
机译：尺寸，形状和驱动器优化过程与节能时间积分方案相结合，用于动态分析承受较大整体运动的平面几何非线性框架结构。求解方法基于有限元公式，采用惯性框架中描述的基于位移的经典平面梁有限元。考虑了有限的轴向，弯曲和剪切应变。如果系统是保守的，则可以保证运动过程中离散系统的能量和动量守恒。尺寸，形状和驱动器设计变量被引入模型。使用Bezier贴片，通过设计元素技术实现形状参数化。灵敏度分析通过离散方法和解析直接微分方法进行。采用了基于梯度的优化方法，该方法使用自动可调节的凸近似技术。通过数值例子证明了该方法的效率和适用性。优化了移动机器人手臂的形状和驱动功能，以减少其最终位置的振动。优化了钢框架的形状，以减少理想的地面震动后的振动。

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