This thesis is the result of work done in connection with the California Institute of Technology Electric Analog Computer. Several methods are developed for determining the accuracy of the solutions of various types of problems by electric circuit analogies. These are used to obtain expressions for the errors involved in the solutions of specific examples.
The first part deals with the error involved in thesolution of problems with continuously distributed physicalproperties by means of circuit analogies of lumped parameters.The errors of mode frequencies of several mechanicalvibration problems are given in the form of asymptoticseries.
In the second part, investigation is made of the effectof the statistical deviation of the actual values of thecomputer elements from their nominal values. This effectis computed for circuits for some of the problems consideredin the first section.
The third part describes the analog computer solution ofthe transient stresses in a model airplane wing underlanding impact. This solution is compared with anothercomputed solution and with an experimental test of thesame model wing.