留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

圆板在局部Gauss温度场作用下的响应分析

龙连春 张超亚

龙连春, 张超亚. 圆板在局部Gauss温度场作用下的响应分析[J]. 应用数学和力学, 2016, 37(4): 391-403. doi: 10.3879/j.issn.1000-0887.2016.04.007
引用本文: 龙连春, 张超亚. 圆板在局部Gauss温度场作用下的响应分析[J]. 应用数学和力学, 2016, 37(4): 391-403. doi: 10.3879/j.issn.1000-0887.2016.04.007
LONG Lian-chun, ZHANG Chao-ya. Response Analysis of Thin Circular Plates in the Local Gaussian Temperature Field[J]. Applied Mathematics and Mechanics, 2016, 37(4): 391-403. doi: 10.3879/j.issn.1000-0887.2016.04.007
Citation: LONG Lian-chun, ZHANG Chao-ya. Response Analysis of Thin Circular Plates in the Local Gaussian Temperature Field[J]. Applied Mathematics and Mechanics, 2016, 37(4): 391-403. doi: 10.3879/j.issn.1000-0887.2016.04.007

圆板在局部Gauss温度场作用下的响应分析

doi: 10.3879/j.issn.1000-0887.2016.04.007
基金项目: 国家自然科学基金(11272020)
详细信息
    作者简介:

    龙连春(1963—),男,教授,博士,硕士生导师(通讯作者. E-mail: longlc@bjut.edu.cn);张超亚(1990—),男,硕士生(E-mail: chaoyz_1990@sina.com).

  • 中图分类号: TB125;O343.6

Response Analysis of Thin Circular Plates in the Local Gaussian Temperature Field

Funds: The National Natural Science Foundation of China(11272020)
  • 摘要: 基于薄板热弯曲理论,推导了圆板在Gauss(高斯)温度场作用下的挠度和热应力解析表达式,分析了边界条件和局部温度参数对圆板挠度和热应力的影响,为局部温度变化薄板结构的热力学分析提供理论依据.研究结果表明:圆板中心处的挠度和压应力有最大值;在热影响区内,圆板内一点的挠度随着该点到板中心距离的增大呈Gauss型减小趋势;在热影响区外,圆板挠度的变化趋势与圆板边界约束形式和辐照因子有关,辐照因子越大,边界简支圆板挠度越先呈线性减小趋势;圆板挠度的解析解与有限元解一致.在热影响区内,圆板内一点的热应力随着该点到板中心距离的增大呈Gauss型减小趋势,两种边界约束圆板的热应力变化趋势相似;在热影响区外,圆板热应力的变化趋势与圆板边界约束形式和辐照因子有关.
  • [1] Qin Y, Wang B, Ni X W, Shen Z H, Lu J. Axisymmetric analytical solution for pulsed laser melting of metals[J]. Computational Materials Science,2012,54: 1-6.
    [2] Qin Y, Chen Y B, Ni X W, Shen Z H, Bi J, Zhang X H. Axisymmetric numerical simulation of plastic damage in aluminum alloy induced by long pulsed laser[J]. Optics and Lasers in Engineering,2010,48(3): 361-367.
    [3] 付耀龙, 温泽胜, 张喜和. 长脉冲激光与硅材料相互作用的温度场[J]. 长春大学学报, 2012,22(10): 1212-1214.(FU Yao-long, WEN Ze-sheng, ZHANG Xi-he. Temperature field of long pulse laser and Si material interaction[J]. Journal of Changchun University,2012,22(10): 1212-1214.(in Chinese))
    [4] 周益春, 段祝平, 王春奎. 反冲塞效应的热弹性理论分析(I)——温度场分析[J]. 应用数学和力学, 1995,16(10): 851-860.(ZHOU Yi-chun, DUAN Zhu-ping, WANG Chun-qui. The analytical study on the laser induced reverse-plugging effect by using the classical elastic plate theory(I)—temperature fields[J]. Applied Mathematics and Mechanics,1995,16(10): 851-860.(in Chinese))
    [5] Beck J V. Transient three-dimensional heat conduction problems with partial heating[J].International Journal of Heat and Mass Transfer,2011,54(11/12): 2479-2489.
    [6] Yilbas B S, Al-Aqeeli N. Analytical investigation into laser pulse heating and thermal stresses[J]. Optics & Laser Technology,2009,41(2): 132-139.
    [7] 强希文. 强激光与靶材相互作用的力学效应研究[J]. 激光与红外, 2000,30(3): 141-144.(QIANG Xi-wen. Investigation on mechanical effects of laser-targets interaction[J]. Laser & Infrared,2000,30(3): 141-144.(in Chinese))
    [8] 牛燕雄, 张书练, 姚建铨, 黄峰. 高功率激光对光电器件的热-力破坏效应[J]. 激光与光电子学进展, 2007,44(9): 32-42.(NIU Yan-xiong, ZHANG Shu-lian, YAO Jian-quan, HUANG feng. Thermal and mechanical breakage induced by high power laser on optical and photoelectric elements[J]. Laser & Optoelectronics Progress,2007,44(9): 32-42.(in Chinese))
    [9] LI Gang, SHEN Hong-bin, LI Li, ZHANG Chu, MAO Shao-juan, WANG Yuan-bo. Laser-induced damages to charge coupled device detector using a high-repetition-rate and high-peak-power laser[J]. Optics & Laser Technology,2013,47: 221-227.
    [10] 黄峰, 牛燕雄, 汪岳峰, 段晓峰. 光学窗口材料激光辐照热-力效应的解析计算研究[J]. 光学学报, 2006,26(4): 576-580.(HUANG Feng, NIU Yan-xiong, WANG Yue-feng, DUAN Xiao-feng. Calculation of thermal and mechanical effect induced by laser in optical window materials[J]. Acta Optica Sinica,2006,26(4): 576-580.(in Chinese))
    [11] 赵建君, 宋春荣, 牛燕雄. 强激光辐照光学材料的热力效应研究[J]. 激光杂志, 2005,26(1): 31-32.(ZHAO Jian-jun, SONG Chun-rong, NIU Yan-xiong. Study of thermal and mechanical damage in optical material induced by high-power laser[J]. Laser Journal,2005,26(1): 31-32.(in Chinese))
    [12] 罗强, 任庆利. 高斯激光束照射圆柱体一端面上引起温升和热应力的分析[J]. 强度与环境, 2001,28(3): 14-21.(LUO Qiang, REN Qing-li. Analysis of the temperature rise and the thermal stress which produced by Gauss laser radiated on an end of the cylinder[J]. Structure & Environment Engineering,2001,28(3): 14-21.(in Chinese))
    [13] 严宗达, 王洪礼. 热应力[M]. 北京: 高等教育出版社, 1993: 286-312.(YAN Zong-da, WANG Hong-li.Thermal Stresses[M]. Beijng: Higher Education Press, 1993: 286-312.(in Chinese))
  • 加载中
计量
  • 文章访问数:  766
  • HTML全文浏览量:  26
  • PDF下载量:  497
  • 被引次数: 0
出版历程
  • 收稿日期:  2015-11-11
  • 修回日期:  2016-01-04
  • 刊出日期:  2016-04-15

目录

    /

    返回文章
    返回