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

大型复杂结构的动力分析，无论是直接积分法还是振型叠加法，由于成本的原因，往往是难以实现的。最近提出了混合积分和模态综合技术，以更有效地执行动力学分析并减少计算成本。这些进展还处于早期阶段，仍有大量工作要做。最值得注意的是，在实施各种理论方案以利用新的计算机系统。这项研究项目涉及有限元网格划分的实现，在每个划分中使用独立的运算，以及利用这些运算确定整个结构系统的响应。将只采用直接积分，因为这些方法更容易适用于非线性问题。对牛顿-雅可比混合积分方法进行了详细的研究，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.