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Question 3 a) Consider the system shown in Figure Q3a, consisting of a spring connected to the free end of a clamped bar. Estimate the first two natural frequencies using finite element approach. The element matrices are given by [M]=P\[1 PA2 1] 1 2 and [K] spring k E, P Figure Q3a. b) Describe the convergence studies that are carried out during a finite element based modal analysis. c) Describe mode shape orthogonality. Use mode shape vector, mass and stiffness matrices in the discussion.

Question 3 a) Consider the system shown in Figure Q3a, consisting of a spring connected to the free end of a clamped bar. Estimate the first two natural frequencies using finite element approach. The element matrices are given by [M]=P\[1 PA2 1] 1 2 and [K] spring k E, P Figure Q3a. b) Describe the convergence studies that are carried out during a finite element based modal analysis. c) Describe mode shape orthogonality. Use mode shape vector, mass and stiffness matrices in the discussion.

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 3 a) Consider the system shown in Figure Q3a, consisting of a spring connected to the free end of a clamped bar. Estimate the first two natural frequencies using finite element approach. The element matrices are given by [M]=P\[1 PA2 1] 1 2 and [K] spring k E, P Figure Q3a. b) Describe the convergence studies that are carried out during a finite element based modal analysis. c) Describe mode shape orthogonality. Use mode shape vector, mass and stiffness matrices in the discussion.
Transcribed Image Text:Question 3 a) Consider the system shown in Figure Q3a, consisting of a spring connected to the free end of a clamped bar. Estimate the first two natural frequencies using finite element approach. The element matrices are given by [M]=P\[1 PA2 1] 1 2 and [K] spring k E, P Figure Q3a. b) Describe the convergence studies that are carried out during a finite element based modal analysis. c) Describe mode shape orthogonality. Use mode shape vector, mass and stiffness matrices in the discussion.
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