| VIBRATIONS OF ONE-WAY RECTANGULAR STEPPEDTHIN PLATES ON WINKLER'S FOUNDATION |
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| 作者姓名： | 张英世 王燮山 |
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| 作者单位： | Zhang Yingshi (Division 508. Department of Flight Vehicle Design and Applied Mechanics . Peking University ofAeronautics and Astronauties . Beijing 100083，P. R. China)Wang Xieshan(North China Electric Power University，Beijing 102206. P. R. China) |
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| 摘 要： | I.IntroductionUsedextensivelyillengineeringareone-wayrectallgularsteppedthinplates.suchaslongandnarrow"platesofl'Oundationbaseincivilengineering,high-c"a}'surface.retainingwall,undergroundstructurefi-ame,baseplatesofsluice.shipyardando\-ertlowdam.Theyshouldnotonlymeetrequirementsofstrength,stiffnessalldsteadinessofstructuresbutalsosavematerialstotileftlll.Thus,steppedstructuresarecolnmonl}'adoptedinengineerings.Sofar.vibratio,nsofsuChplateshavenotbeendiscussedinanyliterature.Inthispaper.disc…
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| 关 键 词： | Winkler’s foundation one-way rcctangular stepped thin plate free vibration forced response |
| 收稿时间： | 3 November 1995 |
Vibrations of one-way rectangular stepped thin plates on Winkler's foundation |
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| Zhang Yingshi,Wang Xieshan.VIBRATIONS OF ONE-WAY RECTANGULAR STEPPEDTHIN PLATES ON WINKLER'S FOUNDATION[J].Applied Mathematics and Mechanics(English Edition),1998,19(2):169-177. |
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| Authors: | Zhang Yingshi Wang Xieshan |
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| Institution: | (1) Division 508, Department of Flight Vehicle Design and Applied Mechanics, Peking University of Aeronautics and Astronautics, 100083 Beijing, P. R. China;(2) North China Electric Power University, 102206 Beijing, P. R. China |
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| Abstract: | Differential equations of free forced vibrations of one -way rectangular stepped thin plated on Winkler 's foundation are established by using singular functions ,their general solutions are solved :exprssion of vibration mode function and frequency equations on usual supports are derived from W operator :forced responses of such plates under different -type loads are discussed with generalized functions . |
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| Keywords: | Winkler's foundation one-way rcctangular stepped thin plate free vibration forced response |
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