NDLI: Nonlinear vibration of corrugated shallow shells under uniform load

Content Provider	Springer Nature Link
Author	Liu, Ren huai Yuan, Hong
Copyright Year	2007
Abstract	Based on the large deflection dynamic equations of axisymmetric shallow shells of revolution, the nonlinear forced vibration of a corrugated shallow shell under uniform load is investigated. The nonlinear partial differential equations of shallow shell are reduced to the nonlinear integral-differential equations by the method of Green’s function. To solve the integral-differential equations, expansion method is used to obtain Green’s function. Then the integral-differential equations are reduced to the form with degenerate core by expanding Green’s function as series of characteristic function. Therefore, the integral-differential equations become nonlinear ordinary differential equations with regard to time. The amplitude-frequency response under harmonic force is obtained by considering single mode vibration. As a numerical example, forced vibration phenomena of shallow spherical shells with sinusoidal corrugation are studied. The obtained solutions are available for reference to design of corrugated shells
Ending Page	580
Page Count	8
Starting Page	573
File Format	PDF
ISSN	02534827
e-ISSN	15732754
Journal	Applied Mathematics and Mechanics
Issue Number	5
Volume Number	28
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2007-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Green’s function corrugated shells integral equation Shells Mechanics nonlinear vibration Applications of Mathematics Mathematical Modeling and Industrial Mathematics spherical shells
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Mechanics of Materials Mechanical Engineering

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