A convenient way to measure damping in a single-degree-of-freedom system is called logarith- mic decrement of free response. Consider the free response given by (4). Let's denote t₁ and t₂ denote the times corresponding to two consecutive displacements ₁ and 2 measured one cycle apart, i.e., where t₂ = t₁ + T T = 2π Wd According to (4), show that the logarithmic decrement dis x1 8 = log = (WnT X2 where log has base e. Combine (5), (7), and (8) to obtain 8 √47² +8² Will this method work for other initial conditions? why?

A convenient way to measure damping in a single-degree-of-freedom system is called logarith- mic decrement of free response. Consider the free response given by (4). Let's denote t₁ and t₂ denote the times corresponding to two consecutive displacements ₁ and 2 measured one cycle apart, i.e., where t₂ = t₁ + T T = 2π Wd According to (4), show that the logarithmic decrement dis x1 8 = log = (WnT X2 where log has base e. Combine (5), (7), and (8) to obtain 8 √47² +8² Will this method work for other initial conditions? why?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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