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a. Draw the free body diagrams. b. Calculate the stiffness matrix, the mass matrix and the inverse mass matrix. c. Use the matrix iteration method to find the highest natural frequency and the associated mode shape. k1 m1 Χ1 k2 m2 x2 k3 W m3 m₁ = 3m m2 = m k₁ = k k₂ = 2k m3 = 2m k3 = 3k X3

a. Draw the free body diagrams. b. Calculate the stiffness matrix, the mass matrix and the inverse mass matrix. c. Use the matrix iteration method to find the highest natural frequency and the associated mode shape. k1 m1 Χ1 k2 m2 x2 k3 W m3 m₁ = 3m m2 = m k₁ = k k₂ = 2k m3 = 2m k3 = 3k X3

Elements Of Electromagnetics
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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Question

in this scenario, when it comes to matrix iterations it states this system is assumed out of phase. why is this?

a. Draw the free body diagrams. b. Calculate the stiffness matrix, the mass matrix and the inverse mass matrix. c. Use the matrix iteration method to find the highest natural frequency and the associated mode shape. k1 m1 Χ1 k2 m2 x2 k3 W m3 m₁ = 3m m2 = m k₁ = k k₂ = 2k m3 = 2m k3 = 3k X3
Transcribed Image Text:a. Draw the free body diagrams. b. Calculate the stiffness matrix, the mass matrix and the inverse mass matrix. c. Use the matrix iteration method to find the highest natural frequency and the associated mode shape. k1 m1 Χ1 k2 m2 x2 k3 W m3 m₁ = 3m m2 = m k₁ = k k₂ = 2k m3 = 2m k3 = 3k X3
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