Abstract
The present paper proposes an analytical method for buckling of a double-walled pipe that may be modeled as a concentric double cylindrical shell system. The outer and inner shells are coupled through a filling material, where mechanical properties are represented by the equivalent elastic spring. The governing equations of motion are derived in general form to comprehend three different shell theories with different accuracy, i.e., Flugge, Love and Donnell theories, and the difference in the theories is incorporated into the formulation by use of tracing parameters. The analytical solution is derived for the critical buckling loads of the pipe system with both ends supported by shear diaphragms. In numerical examples, the buckling parameters are obtained for various parameters, and the effect of using different shell theories is discussed in the present problem.
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