留言板

R·库玛, G·帕塔泊. 微极热弹性无限板的轴对称自由振动[J]. 应用数学和力学, 2007, 28(3): 335-348.
 引用本文: R·库玛, G·帕塔泊. 微极热弹性无限板的轴对称自由振动[J]. 应用数学和力学, 2007, 28(3): 335-348.
Rajneesh Kumar, Geeta Partap. Axisymmetric Free Vibrations of an Infinite Micropolar Thermoelastic Plate[J]. Applied Mathematics and Mechanics, 2007, 28(3): 335-348.
 Citation: Rajneesh Kumar, Geeta Partap. Axisymmetric Free Vibrations of an Infinite Micropolar Thermoelastic Plate[J]. Applied Mathematics and Mechanics, 2007, 28(3): 335-348.

Axisymmetric Free Vibrations of an Infinite Micropolar Thermoelastic Plate

• 摘要: 研究了在应力自由和刚性固定边界条件下，无能量耗散的均匀、各向同性微极热弹性无限板的轴对称自由振动波的传播，导出了相应的对称和斜对称模态波传播的闭合式特征方程和不同区域的特征方程．对短波的情况，应力自由热绝缘和等温板中对称和斜对称模态波传播的特征方程退化为Rayleigh表面波频率方程．根据导出的特征方程得到了热弹性、微极弹性和弹性板的结果．在对称和斜对称运动中计算了板的位移分量幅值、微转动幅值和温度分布，给出了对称和斜对称模式的频散曲线，并示出了位移分量和微转动幅值和温度分布的曲线．能够发现理论分析和数值结论是非常一致的．
•  [1] Lord H W,Shulman Y A.A generalized dynamical theory of thermoelasticity[J].J Mech Phys Solids,1967,15(5):299-309. [2] Green A E,Lindsay K L.Thermoelasticity[J].J Elasticity,1992, 2(1):1-7. [3] Green A E,Naghdi P M.A re-examination of the basic postulates of thermomechanics[J].Proceeding of the Royal Society London Ser A,1991,432(1885):171-194. [4] Green A E,Naghdi P M.On undamped heat waves in an elastic solid[J].Journal of Thermal Stresses,1992,15(2):253-264. [5] Green A E,Naghdi P M.Thermoelasticity without energy dissipation[J].J Elasticity,1993,31(3):189-208. [6] Green A E,Naghdi P M.A unified procedure for construction of theories of deformable media Ⅰ.Classical continuum physics Ⅱ. Generalized continua Ⅲ, Mixtures of interacting continua[J].Proceeding of the Royal Society London Ser A,1995,448(1934): 335-356,357-377,379-388. [7] Chandrasekharaiah D S.A uniqueness theorem in the theory of thermoelasticity without energy dissipation[J].Journal of Thermal Stresses,1966,19(3):267-272. [8] Chandrasekharaiah D S.A note on uniqueness of solution in the linear theory of thermoelasticity without energy dissipation[J].J Elasticity,1996,43(3):279-283. [9] Scott N H.Energy and dissipation of inhomogeneous plane waves in thermoelasticity[J].Wave Motion,1996,23(4):393-406. [10] Chandrasekharaiah D S,Srinath K S.Axisymmetric thermoelastic interaction without energy dissipation in an unbounded body with cylindrical cavity[J].J Elasticity,1997,46(1):19-31. [11] Chandrasekharaiah D S,Srinath K S.Thermoelastic waves without energy dissipation in an unbounded body with spherical cavity[J].Int J Math Math Sci,2000,23(8):555-562. [12] Iesan D.On the theory of thermoelasticity without energy dissipation[J].Journal of Thermal Stresses,1998,21(3):295-307. [13] Quintanilla R.On the spatial behavior in Thermoelasticity without energy dissipation[J].Journal of Thermal Stresses,1999,22(2):213-224. [14] Wang J,Slattery S P.Thermoelasticity without energy dissipation for initially stressed bodies[J].Int J Math Math Sci,2002,31(6):329-337. [15] Quintanilla R.Thermoelasticity without energy dissipation of nonsimple materials[J].Journal of Appl Math Mech (ZAMM),2003,83(3):172-180. [16] Kumar R,Deswal S.Surface wave propagation through a cylindrical bore in a micropolar generalized thermoelastic medium without energy dissipation[J].Proc Nat Acad Sci,2003,73(A)(3):315-327. [17] Kumar R,Deswal S.Surface wave propagation in a micropolar thermoelastic medium without energy dissipation[J].J Sound and Vibration,2002,256(1):173-178. [18] Eringen A C.Linear theory of micropolar elasticity[J].J Math Mech,1966,15(6):909-923. [19] Lamb H.On waves in an elastic plate[J].Phil Trans Roy Soc,London, Ser A,1917,93:114-128. [20] Graff K F.Wave Motion in Elastic Solids[M].New York:Dover publications Inc,1991.
计量
• 文章访问数:  2669
• HTML全文浏览量:  110
• PDF下载量:  592
• 被引次数: 0
出版历程
• 收稿日期:  2006-03-07
• 修回日期:  2007-01-12
• 刊出日期:  2007-03-15

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈