4. The schematic representation of a two-degree of freedom system is shown below. For the given system: a. Derive the stiffness and mass matrix, and obtain the equation of motion in matrix form b. c. Calculate the angular frequencies. ( Calculate the free vibration mode shapes ( k = 750 kN/m k= 1000 kN/m m = 500 kg m = 250 kg k= 750 kN/m k= 1000 kN/m

Structural Analysis
6th Edition
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Chapter2: Loads On Structures
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he shematic representation of a two-degree of freedom system is shown below. For the given system:

a. Derive the stiffness and mass matrix, and obtain the equation of motion in matrix form

b. Calculate the angular frequencies.

c. Calculate the free vibration mode shapes

4. The schematic representation of a two-degree of freedom system is shown below. For the
given system:
Derive the stiffness and mass matrix, and obtain the equation of motion in matrix
form
a.
b.
C.
Calculate the angular frequencies. (
Calculate the free vibration mode shapes (
k= 750 kN/m
k = 1000 kN/m
m=500 kg
m = 250 kg
k = 750 kN/m
k = 1000 kN/m
Transcribed Image Text:4. The schematic representation of a two-degree of freedom system is shown below. For the given system: Derive the stiffness and mass matrix, and obtain the equation of motion in matrix form a. b. C. Calculate the angular frequencies. ( Calculate the free vibration mode shapes ( k= 750 kN/m k = 1000 kN/m m=500 kg m = 250 kg k = 750 kN/m k = 1000 kN/m
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