课题基金 / 基金详情

Mixed methods for the structure-preserving integration in nonlinear structural and elasto-dynamics

Mixed methods for the structure-preserving integration in nonlinear structural and elasto-dynamics
非线性结构和弹性动力学中保结构积分的混合方法
批准号:
227928419
负责人:
Professor Dr.-Ing. Peter Betsch
金额:
$0.0万
依托单位国家:
德国
项目类别:
Research Grants
财政年份:
--
资助国家:
德国
项目状态:
未结题
起止时间:

项目摘要

项目成果

Professor Dr.-Ing. Peter Betsch的其他基金

相似基金

相关文献

中文摘要
翻译
结构保持时间步长格式具有优良的数值稳定性和稳健性。特别是,能量动量格式的发展是由非线性结构动力学的特定要求指导的。然而,这些发展基本上局限于基于位移的有限元。另一方面,混合有限元格式在许多应用中都很重要。本项目的目标是开发一种新的方法来设计混合有限元格式的保结构积分器。为此,采用5场变分原理作为时空离散化的新起点。混合有限元和结构保持格式的结合在精度、数值稳定性和稳健性方面具有很大的优势。此外,新提出的时空混合方法有可能极大地扩展保结构积分器的适用性。
英文摘要
Structure-preserving time-stepping schemes are known to exhibit superior numerical stability and robustness. In particular, the development of energy-momentum schemes was guided by the specific demands of nonlinear structural dynamics. However, these developments have essentially been restricted to displacement-based finite elements. On the other hand mixed finite element formulations are important for many applications.The goal of the present project is to develop a new approach to the design of structure-preserving integrators for mixed finite element formulations. For that purpose a 5-field variational principle shall be used as new pointof departure for the discretization in space and time.The combination of mixed finite elements and structure-preserving schemes promises great advantages with regard to accuracy, numerical stability and robustness. In addition to that, the newly proposed mixed method inspace and time has the potential to significantly extend the applicability of structure-preserving integrators.
期刊论文(0)
专著(0)
科研奖励(0)
会议论文
Structure-preserving optimal control of multibody systems
  • 批准号:
    240990603
  • 项目类别:
    Research Grants
  • 资助金额:
    $0.0万
  • 财政年份:
    2013
  • 负责人:
    Professor Dr.-Ing. Peter Betsch
  • 依托单位:
Mechanische Integratoren für diskrete mechanische Systeme mit holonomen und nichtholonomen Zwangsbedingungen
  • 批准号:
    5438419
  • 项目类别:
    Research Grants
  • 资助金额:
    $0.0万
  • 财政年份:
    2005
  • 负责人:
    Professor Dr.-Ing. Peter Betsch
  • 依托单位:
Nichtlineare Schalenelemente für die Dynamik flexibler Mehrkörpersysteme
  • 批准号:
    13451893
  • 项目类别:
    Research Grants
  • 资助金额:
    $0.0万
  • 财政年份:
    2005
  • 负责人:
    Professor Dr.-Ing. Peter Betsch
  • 依托单位:
Numerical methods for the optimal control of constrained mechanical systems
  • 批准号:
    442997215
  • 项目类别:
    Research Grants
  • 资助金额:
    $0.0万
  • 财政年份:
    --
  • 负责人:
    Professor Dr.-Ing. Peter Betsch
  • 依托单位:
国内基金
海外基金
复杂图像处理中的自由非连续问题及其水平集方法研究
  • 批准号:
    60872130
  • 项目类别:
    面上项目
  • 资助金额:
    28.0万元
  • 批准年份:
    2008
  • 负责人:
    刘国才
  • 依托单位:
Computational Methods for Analyzing Toponome Data