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首页> 外文学位 >A new and effective virtual-pulse (VIP) time integral methodology for computational dynamics: Theoretical developments, implementation aspects, and applicability for large-scale built-up structures.
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A new and effective virtual-pulse (VIP) time integral methodology for computational dynamics: Theoretical developments, implementation aspects, and applicability for large-scale built-up structures.

机译：一种新的有效的用于计算动力学的虚拟脉冲（VIP）时间积分方法：理论发展，实施方面以及对大型组合结构的适用性。

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摘要

Predicting the transient behavior of systems is of practical importance in several areas of engineering and sciences. In practice, for the transient analysis of general built-up structures, analytical solutions are normally not feasible, while experiments are often either too expensive or impractical in many situations. As a consequence, numerical methods such as finite element methods are a viable alternative. Traditionally, direct time integration and mode superposition methods are the two most commonly used approaches. Using existing numerical approaches and modern computer environments, the engineering transient analysis of several large scale problems is still not feasible or may be cost prohibitive because of extensive computational efforts required. Hence, there is a pressing need for developing effective computational tools to meet the current and future demands in engineering analysis.; The objectives of the present research are to develop an effective VIrtual-Pulse (VIP) Time Integral Methodology via new perspectives for general structural dynamics and transient heat transfer problems and provide a sound theoretical foundation. The applicability to large scale general structures is a major concern. The proposed VIP methodology capitalizes on the advantages of both direct time integration and mode superposition methods and possess improved algorithmic characteristics and computational attributes. In comparison to existing methods, the VIP method has several attractive computational features such as: (1) explicit (with iteration for nonlinear situations) and unconditionally stable; (2) second-order accurate; (3) zero algorithmic damping and relative period error for linear dynamic systems, and no acceleration involved in computations; and (4) direct self-starting.; Based on the investigation of various elastic and elasto-plastic engineering structures/components presented in this work under different boundary, loading, and initial conditions, it is shown that the proposed Virtual-Pulse Time Integral Methodology is effective for both linear and nonlinear structural dynamics. It improves the convergence characteristics and can significantly reduce computational cost for prescribed accuracy levels in comparison to existing approaches. The methodology not only provides new perspectives and approach for developing effective computational tools, but also offers significant potential for the analysis of large scale engineering computations on modern computing environments.
机译：在工程和科学的多个领域中，预测系统的瞬态行为具有实际意义。在实践中，对于常规结构的瞬态分析，解析解决方案通常是不可行的，而在许多情况下，实验往往太昂贵或不切实际。结果，诸如有限元方法之类的数值方法是可行的选择。传统上，直接时间积分和模式叠加方法是两种最常用的方法。使用现有的数值方法和现代计算机环境，由于需要大量的计算工作，对几个大规模问题的工程瞬态分析仍然不可行或可能导致成本过高。因此，迫切需要开发有效的计算工具以满足工程分析中当前和将来的需求。本研究的目的是通过针对一般结构动力学和瞬态传热问题的新观点，开发一种有效的虚拟脉冲（VIP）时间积分方法论，并提供坚实的理论基础。大型通用结构的适用性是主要关注的问题。提出的VIP方法利用了直接时间积分和模式叠加方法的优点，并具有改进的算法特性和计算属性。与现有方法相比，VIP方法具有一些吸引人的计算功能，例如：（1）显式（对于非线性情况具有迭代）和无条件稳定； （2）二阶准确； （3）线性动力系统的零算法阻尼和相对周期误差，并且计算中不涉及加速度； （四）直接自启动。通过对在不同边界，载荷和初始条件下进行的各种弹性和弹塑性工程结构/构件的研究，表明所提出的虚拟-脉冲时间积分方法对于线性和非线性结构动力学都是有效的。与现有方法相比，它改善了收敛特性，并可以显着降低指定精度级别的计算成本。该方法不仅为开发有效的计算工具提供了新的观点和方法，而且为分析现代计算环境中的大规模工程计算提供了巨大的潜力。

著录项

  • 作者

    Chen, Xiaoqin.;

  • 作者单位

    University of Minnesota.;

  • 授予单位 University of Minnesota.;
  • 学科 Engineering Mechanical.
  • 学位 Ph.D.
  • 年度 1994
  • 页码 175 p.
  • 总页数 175
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 机械、仪表工业;
  • 关键词

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