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Mathematical modelling and computer-aided design of diaphragms and capsules for instrument transducers

Turley, A. J. (1977). Mathematical modelling and computer-aided design of diaphragms and capsules for instrument transducers. (Unpublished Doctoral thesis, The City University)

Abstract

Mathematical models have been developed for the purpose of analysis and design of corrugated diaphragms and capsules. The models based on the geometric and material properties are presented as computer programs, and are therefore powerful tools for replacing the largely empirical design techniques previously employed.

The equations are based on thin elastic shell theory and are solved by a fast finite difference approximation. Both the linear and non-linear solutions have been found and validated against experimental results.

The linear model is also used to predict the fundamental natural frequency of both diaphragms and capsule using a standard energy method (Rayleigh's method) and by a technique based on the dynamic deflection curve.

A systematic approach to design has been adopted and the possible applications detailed; two industrial design problems were tackled and one, the design of a nesting capsule, was successfully followed through to a finished product.

Publication Type: Thesis (Doctoral)
Subjects: Q Science > QA Mathematics
T Technology > TA Engineering (General). Civil engineering (General)
T Technology > TJ Mechanical engineering and machinery
Departments: School of Science & Technology > School of Science & Technology Doctoral Theses
Doctoral Theses
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