by using this matrix can you show me the answer of K stiffness M = 93 0 0 53the natural frequency is 44.24rad 6 for [kmamixi-Ka ka +(Ka tki) X =0ma 7-Kai+ K2X) =0Kitk2- Kami- KaKaSoiving theX Figen veutun.matrinBy EigenvawesIm] ) +K]{x}= 0Ka (Ka-X1)I= Edentiy mounix =LCF Dynamic maux [m K]Imlads mma%3Dm,mam,O m2- K2Kitka- KaIC]= [m]"K]mmiLO-K2K2m2- KaK2maThen2-Kitke-K2K2m2K2m2KitkaK2K2K2mim2M2» 2- AK2ma2(kitk2) +Kz (Kitk2)2.Kamim2> 2- 2,K2Kitk2K2K2m2miIBy Solving the eg?we find the1wotK = m,2,%3DmiKa = m2

Given : m1 = 93 m2 = 53 ω=44.24 To find: Stiffness matrix, K

Answered: by using this matrix can you show me…

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by using this matrix can you show me the answer of K stiffness M = 93 0 0 53 the natural frequency is 44.24rad

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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Concept explainers

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

by using this matrix can you show me the answer of K stiffness

M = 93 0

0 53

the natural frequency is 44.24rad

6 for [k
ma
mixi-Ka ka +(Ka tki) X =0
ma 7-Kai+ K2X) =0
Kitk2
- Ka
mi
- Ka
Ka
Soiving the
X Figen veutun.
matrin
By Eigenvawes
Im] ) +K]{x}= 0
Ka (Ka-X1)
I= Edentiy mounix =
LCF Dynamic maux [m K]
Iml
ads m
ma
%3D
m,ma
m,
O m2
- K2
Kitka
- Ka
IC]= [m]"K]
m
mi
LO
-K2
K2
m2
- Ka
K2
ma
Then
2-Kitke
-K2
K2
m2
K2
m2
Kitka
K2
K2
K2
mi
m2
M2
» 2- AK2
ma
2(kitk2) +
Kz (Kitk2)
2.
Ka
mim2
> 2- 2,
K2
Kitk2
K2
K2
m2
mi
IBy Solving the eg?
we find the
1wot
K = m,2,
%3D
mi
Ka = m2

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