A unified computational methodology for dynamic thermoelasticity with multiple subdomains under the GSSSS framework involving differential algebraic equation systems

Maxam D.; Deokar R.; Tamma K. K.

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A unified computational methodology for dynamic thermoelasticity with multiple subdomains under the GSSSS framework involving differential algebraic equation systems

机译：GSSSS框架下涉及微分代数方程组的具有多个子域的动态热弹性的统一计算方法

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摘要

A novel and general computational methodology for thermal stress problems with multiple subdomains is presented under the unified generalized single-step single-solve (GSSSS) framework for first- and second-order differential algebraic equations. It enables arbitrary number of subdomains and the coupling of different but compatible time-stepping algorithms ensuring second-order time accuracy in all differential and algebraic variables. The framework permits implicit/explicit coupling and subcycling; however, only selected coupling of algorithms in different subdomains is focused upon. Numerical examples encompassing transient heat conduction with quasi-static thermal stresses, and thermally-induced vibrations are illustrated.

机译：针对一阶和二阶微分代数方程，在统一的广义单步单解（GSSSS）框架下，提出了一种具有多个子域的热应力问题的新颖且通用的计算方法。它支持任意数量的子域，以及不同但兼容的时间步长算法的耦合，从而确保所有微分和代数变量的二阶时间精度。该框架允许隐式/显式耦合和子循环；但是，仅关注不同子域中算法的选定耦合。数值示例涵盖了具有准静态热应力的瞬态热传导以及热诱发的振动。

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《Journal of thermal stresses》 |2019年第3期|163-184|共22页
作者
Maxam D.; Deokar R.; Tamma K. K.;
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作者单位

Univ Minnesota Twin Cities, Dept Mech Engn, 111 Church St SE, Minneapolis, MN 55455 USA;

Univ Minnesota Twin Cities, Dept Mech Engn, 111 Church St SE, Minneapolis, MN 55455 USA;

Univ Minnesota Twin Cities, Dept Mech Engn, 111 Church St SE, Minneapolis, MN 55455 USA;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Differential algebraic equation; dynamics; subdomain; thermally induced vibrations; time integration; thermoelasticity;

机译：微分代数方程;动力学;子域;热振动;时间积分;热弹性;

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专利

1. A unified computational methodology for dynamic thermoelasticity with multiple subdomains under the GSSSS framework involving differential algebraic equation systems [J] . Maxam D., Deokar R., Tamma K. K. Journal of thermal stresses . 2019,第1a3期

机译：具有涉及差分代数方程系统的GSSSS框架下具有多个子域的动态热弹性的统一计算方法
2. Generalized heat conduction model involving imperfect thermal contact surface: Application of the GSSSS-1 differential-algebraic equation time integration [J] . Tao Xue, Xiaobing Zhang, Kumar K. Tamma International Journal of Heat and Mass Transfer . 2018,第JANa期

机译：包含不完善热接触面的广义导热模型：GSSSS-1微分代数方程时间积分的应用
3. Numerical computation of differential-algebraic equations for nonlinear dynamics of multibody android systems in automobile crash simulation [J] . Fox B., Jennings L.S., Zomaya A.Y. IEEE Transactions on Biomedical Engineering . 1999,第10期

机译：汽车碰撞仿真中多体android系统非线性动力学微分代数方程的数值计算
4. SLIDING MOTION OF DISCONTINUOUS DYNAMICAL SYSTEMS DESCRIBED BY DIFFERENTIAL ALGEBRAIC EQUATIONS [C] . Jyoti Agrawal, Kannan M. Moudgalya, Amiya K. Pani IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes . 2004

机译：差分代数方程描述的不连续动力系统的滑动运动
5. Application of the GSSSS Family of Algorithms to the Natural Index 3 Differential-Algebraic Equations of Multibody Dynamics [D] . Hoitink, Andrew John 2011

机译：GSSSS系列算法在多体动力学自然指数3微分代数方程中的应用
6. Systems of Algebraic Differential Equations [O] . J. F. Ritt 1931

机译：代数微分方程组
7. Multiple-Scale Analysis for Higher-Order Painleve Equations (Algebraic Analysis and the Exact WKB Analysis for Systems of Differential Equations) [O] . AOKI Takashi 2008

机译：高阶Painleve方程的多尺度分析（微分方程组的代数分析和精确WKB分析）
8. Exact computation of derivatives with differential algebra and applications to beam dynamics. Part 1, A survey of differential algebra and its use for the extraction of maps to arbitrary order; Part 2, Normal form methods for complicated periodic systems: [R] . Berz, M., Forest, E., Irwin, J. 1988

机译：用微分代数精确计算导数并应用于梁动力学。第1部分，差分代数的调查及其用于将地图提取到任意顺序的用途;第2部分，复杂周期系统的正规形式方法：

A unified computational methodology for dynamic thermoelasticity with multiple subdomains under the GSSSS framework involving differential algebraic equation systems

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