Forced Vibration and Special Effects of Revolution Shells in Turning-Point Range
-
摘要: 利用转点频段的一致有效解研究了截顶旋转薄壳受边缘薄膜力和弯矩驱动的强迫振动.薄壳强迫振动呈现出薄膜解和弯曲解的耦合特点:无论由薄膜力还是由弯矩激发,振动均俱含薄膜和弯曲运动.揭示了转点频段薄壳强迫振动的3种特殊效应:无弯曲效应、内部静止效应和内部薄膜运动外部弯曲运动效应.这些效应具有潜在的应用价值.Abstract: The forced vibration in the turning point frequency range of a truncated revolution shell subject to a membrane drive or a bending drive at its small end or large end was studied by applying the uniformly valid solutions obtained in a previous paper. The vibration in the turning-point range shows a strong coupling between the membrane and bending solutions: either the membrane drive or the bending drive causes motions of both the membrane type and bending type. Three interesting effects characteristic of the forced vibration in the turning point range emerge from the coupling nature: the non-bending effect, the inner-quiescent effect and the inner-membrane-motion-and-outer bendingmotion effect. These effects may have potential applications in engineering.
-
Key words:
- forced vibration /
- special effect /
- turning-point range /
- revolution shell
-
[1] Ross E W Jr. Transition solutions for axisymmetric shell vibrations[J].Journal of Mathematical Physics,1966,54(4):335-35. [2] Гольденвейзер А Л, Лидский В Б,Товстик П Е.Свободные Κолебания Тонких Упругих Оболочек[M].Москва: Наука, 1979. [3] Zhang R J, Zhang W. Turning point solution for thin shell vibration[J].International Journal of Solids and Structures,1991,27(10):1311-1326. doi: 10.1016/0020-7683(91)90165-C [4] 张志良,程昌钧.旋转薄壳转点频段的轴对称振动解[J].固体力学学报2006,27(2):135-140. [5] ZHANG Zhi-liang,CHENG Chang-jun.Natural frequencies and mode shapes for axisymmetric vibrations of shells in turning-point range[J].International Journal of Solids and Structures,2006,43(18/19):5525-5540. doi: 10.1016/j.ijsolstr.2005.06.082 [6] Hartung R F, Loden W A.Axismmetric vibration of conical shells[J].Journal of Spacecraft and Rockets,1970,7(10):1153-1159. doi: 10.2514/3.30127 [7] ZHANG Zhi-liang,CHENG Chang-jun.Analytical solutions for axisymmetric vibration of loudspeaker cone in transitional range[J].Available Online 22 September 2006.[2007-05-07]. [8] Kalnins A. Effect of bending on vibrations of spherical shells[J].Journal of the Acoustical Society of America,1964,36(1):74-81. doi: 10.1121/1.1918916 [9] Frankort F J M.Vibration and Sound Radiation of Loudspeaker Cones[M].Eindhoven: N V. Philips' Gloeilampenfabrieken, 1975. [10] ZHANG Zhi-liang,CHENG Chang-jun.Vibrations of loudspeaker cones in transitional range[J].Journal of the Audio Engineering Society,2006,54(7/8):598-603.
计量
- 文章访问数: 2961
- HTML全文浏览量: 157
- PDF下载量: 582
- 被引次数: 0