Transcription of AN INTRODUCTION TO FREQUENCY RESPONSE …
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1AN INTRODUCTION TO FREQUENCY RESPONSE FUNCTIONSBy Tom IrvineEmail: 11, 2000_____IntroductionThe purpose of this report is to discuss FREQUENCY RESPONSE functions . These functionsare used in vibration analysis and modal testing. The purpose of modal testing is toidentify the natural frequencies, damping ratios, and mode shapes of a FrequenciesBridges, aircraft wings, machine tools, and all other physical structures have naturalfrequencies. A natural FREQUENCY is the FREQUENCY at which the structure would oscillateif it were disturbed from its rest position and then allowed to vibrate freely. Allstructures have at least one natural FREQUENCY . Nearly every structure has multiple occurs when the applied force or base excitation FREQUENCY coincides with astructural natural FREQUENCY . During resonant vibration, the RESPONSE displacement mayincrease until the structure experiences buckling, yielding, fatigue, or some other failure of the Cypress Viaduct in the 1989 Loma Prieta Earthquake is example offailure due to resonant excitation.
1 AN INTRODUCTION TO FREQUENCY RESPONSE FUNCTIONS By Tom Irvine Email: tomirvine@aol.com August 11, 2000 _____ Introduction
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INTRODUCTION TO THE SPECIAL FUNCTIONS, INTRODUCTION TO THE SPECIAL FUNCTIONS OF MATHEMATICAL PHYSICS, Three kinds of modulations, Complex, SAS® Date and Time, SAS® Date and Time Functions, FUNCTIONS, FINDING ZEROS OF POLYNOMIAL, FINDING ZEROS OF POLYNOMIAL FUNCTIONS, Goals and Objectives for Authentic, Goals and Objectives for Authentic Communication, Theoretical Constructs, Concepts, and Applications