Application of the R-Function Theory for the Bending Problem of Shallow Spherical Shells with a Dodecagon Domain

Shan Qing Li; Hong Yuan

doi:10.4028/www.scientific.net/AMR.468-471.8

Paper Titles

Preface and Sponsors & Committees

Analysis on Controlling Oil Pressure Regulating Performance of Hydro-Viscous Variable Speed Clutch
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Application of the R-Function Theory for the Bending Problem of Shallow Spherical Shells with a Dodecagon Domain
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Computational Experiments of Optimizing Transporting Robot Move Sequence in Molds Assembly Using Genetic Algorithm
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A New Life Detection System: Integration of Ultra-Wide Band Sensor into Wireless Sensor Networks
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CFD Studies on Velocity Distribution of Air in a Swirling Fluidized Bed
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Design and Realization of Automatic Feed Proportioning System Based on PLC
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Adaptive Internet-Based Online Courses Research
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Biomechanics Simulation of Volleyball Player in Jumping Spike
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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 468-471Application of the R-Function Theory for the...

Application of the R-Function Theory for the Bending Problem of Shallow Spherical Shells with a Dodecagon Domain

Abstract:

The R-function theory is applied to describe the dodecagon domain of shallow spherical shells on Winkler foundation, and it is also used to construct a quasi-Green’s function. The quasi-Green’s function satisfies the homogeneous boundary condition of the problem. Then the differential equation of the problem is reduced to two simultaneous Fredholm integral equations of the second kind by the Green’s formula. The singularity of the kernel of the integral equation is overcome by choosing a suitable form of the normalized boundary equation. A comparison with the ANSYS finite element solution shows a good agreement, and it demonstrates the feasibility and efficiency of the present method.