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外壁热流响应计算的导热反问题方法及其验证 被引量:2

Nonlinear transient inverse heat conduction problems method of calculating the boundary heat response
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摘要 研究组合结构外壁热响应特性,根据Beck’s序列函数法的思想,优化算法各个环节,建立应用多个温度测点、多个未来时间步的计算模型。通过假设热流呈三角波形变化开展数值验证,计算结构内部温度场,并取其中数点温度信息作为反问题输入条件反演得到外壁热流响应,得到热流误差不超过0.5%、温度误差不超过0.01%的理想结果,并得到测点数量及位置等因素对计算误差的影响。该计算方法可应用于包装结构在模拟火灾等特殊环境中的外壁热响应研究。 Beek's function specification algorithm is applied to research the boundary heat response characteristics of combined bodies. Each step of the algorithm is optimized. A mathematic model containing multi-temperature measuring points and multi-future time steps is established. A trigonal waveform heat flux is assumed as the boundary condition to carry out a numerical verifying. First the temperature field in the object is calculated by solving the direct heat conduction problem. Then several points' temperatures in it are chose as the input-condition to calculate the boundary heat response. A quite perfect result is that the errors of the heat fluxes are lower than 0.5% and the errors of temperatures are even lower than 0.01%. The effect of measuring points number, the positions of the measuring points and so on to the calculating errors are gained. The calculating method would be used to research the boundary heat response characteristics of the package structure in the simulating fire.
出处 《强度与环境》 2009年第4期54-59,共6页 Structure & Environment Engineering
基金 国家自然科学基金(NASF联合基金重点项目)资助项目(10776100)
关键词 导热反问题 序列函数法 敏感系数 数值验证 inverse heat conduction problem function specification algorithm sensitivity coefficient numerical verifying
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参考文献7

  • 1J V Beck. Methodology for comparison of inverse heat conduction methods[J]. J.of heat transfer, 1988, 110: 30-37.
  • 2J V Beck,B Blackwell,C R St clair inverse heat conduction-Ill posed problems[M].New York: Wiley-Interscience, 1985(1): 218-243.
  • 3J V.Beck. User's Manual for CONTA-Program for calculating surface heat fluxes from transient temperatures inside solids[R]. SAND83-7134, 1983.
  • 4B.Blackwell.User's manual for the Sandia one-dimensional direct and inverse thermal(SODDIT) code[R]. Sandia national laboratories internal report of Div.7537, 1983.
  • 5L J.Ott, R A. Hedrick. ORINC: A one dimensional implicit approach to the inverse heat conduction problem[R]. NTIS report ORNL/NUREG-23, Oak Ridge national laboratories, Oak Ridge, TN, 1977.
  • 6杨冬,陈听宽.导热反问题方法在计算瞬态传热过程中的应用[J].核动力工程,1997,18(6):553-559. 被引量:10
  • 7李明海.钢-木组合结构的火烧热响应模拟与导热反问题在火烧试验中的应用[D].重庆:重庆大学,1998:42-60.

二级参考文献2

  • 1杨冬,硕士学位论文,1993年
  • 2陶文铨,数值传热学,1988年

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