2010•WSEAS Transactions on Mathematics archiveRequires access

Vibrations of cylindrical shells with circumferential cracks

Jaan Lellep, Larissa Roots

Abstract

An approximate method for the vibration analysis of stepped shells accounting for the influence of cracks located at re-entrant corners of steps is presented. Introducing the additional compliance function it is shown that the flexibility of the shell near cracks can be prescribed by means of the compliance of the structure. The latter is coupled with the stress intensity factor, which is known from the linear elastic fracture mechanics. Theoretical analysis is developed for circular cylindrical shells, provided the shell wall has an arbitrary number of steps and circular cracks of constant depth. Various combinations of end conditions are considered.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Shell (structure), Vibration, Stress intensity factor, Mathematics, Constant (computer programming), Flexibility (engineering), Fracture (geology), Geometry