Efficient Numerical Techniques for Dynamic Analysis of Large-Scale Structures on Vector and Parallel Computers

采用直接积分法或模态叠加法对大型复杂结构进行动力分析往往由于成本的原因而难以实现。为了更有效地进行动力学分析和降低计算成本，近年来提出了混合积分和模态综合技术。这些发展还处于早期阶段，还有大量工作要做，最值得注意的是在实现各种理论方案，以利用新的计算机系统的矢量和并行处理能力。​本研究项目涉及有限元网格分区的实现，在每个分区中使用独立的操作，以及利用这些操作确定整个结构系统的响应。我们只采用直接积分，因为这种方法更容易适用于非线性问题。本文将详细研究牛顿-雅可比混合积分方法，并在向量和并行处理器上实现。

The dynamic analysis of large complex structures either by direct integration or by modal superposition is often prohibitive due to cost. Recently mixed integration and modal synthesis techniques have been proposed to more efficiently perform the dynamics analysis and to reduce the computational cost. These developments are at an early stage and substantial work still to be done, most notably in the implementation of various theoretical schemes to exploit the vector and parallel processing capabilities of the new computer systems. This research project deals with the implementation of finite element mesh partitioning, the use of independent operations in each partition, and the determination of the response of the complete structural system utilizing these operations. Only direct integration will be employed, since these are more readily applicable to nonlinear problems. A Newton- Jacobi mixed integration approach will be study in detail and implemented on vector and parallel processors.