Mechanical Engineering ETDs

Publication Date

9-28-1971

Abstract

Techniques for correcting transient measurements can be considered as "deconvolving" or solving the convolution integral equation

R(t)=F(0) * C(t) + ∫t_0 C(t- Τ) [dF(T)/dT] dT

for the input, F(t), given the response, R(t), and response of the measurement system to a step input of unit magnitude, C(t). Because the deconvolution process is mathematically ill conditioned, it is usually necessary to place additional constraints on the functions F(t), C(t) and/or R(t).

In this paper, a numerical time domain deconvolution

(TDD) technique that provides physical insight into the problems of correcting transient measurements is presented and compared to techniques that have previously been used. It is shown that the TDD technique can only be applied to measurement systems that approximately satisfy the constraint C(t)t=0 ≠0 and for which the C(t) function is sufficiently

Degree Name

Mechanical Engineering

Level of Degree

Doctoral

Department Name

Mechanical Engineering

First Committee Member (Chair)

Richard Charles Dove

Second Committee Member

Maurice Wilbert Wildin

Third Committee Member

George Milton Wing

Fourth Committee Member

Shlomo Karni

Fifth Committee Member

James Tsu-Ping Yao

Document Type

Dissertation

Language

English

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