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Free Vibration Analysis of Two degree of Freedom System

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Systems that require two independent coordinates to describe their motion are called:

a: single DOF Explanation

Explanation

b: two DOF Explanation

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c: Multiple DOF Explanation

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d: None of the above Explanation

Explanation

For the two DOF free vibration without damping:

a: the masses are excited by harmonic force F(t) Explanation

Explanation

b: the masses are excited by impulse excitation Explanation

Explanation

c: the masses are excited by initial excitation Explanation

Explanation

d: none of the above Explanation

Explanation

Under certain condition, any point in the system may execute harmonic vibrations at any of the two natural frequencies, and these are known as:

a: principal mode of vibrations Explanation

Explanation

b: star mode of vibrations Explanation

Explanation

c: Secondary mode of vibrations Explanation

Explanation

d: Tertiary mode of vibrations Explanation

Explanation

A system having two degrees of freedom can vibrate in:

a: one principal modes of vibrations Explanation

Explanation

b: two principal modes of vibrations Explanation

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c: three principal modes of vibrations Explanation

Explanation

d: multiple principal modes of vibrations Explanation

Explanation

The guess solution regarding the solutions for x1 and x2 in 2 DOF free vibrations are:

a: x₁ = X₁ sin ωt ; x₂ = X₂ sin ωt Explanation

Explanation

b: θ₁ = β₁ sin ωt ; θ₂ = β₂ sin ωt Explanation

Explanation

c: x₁ = A₁ e^st ; x₂ = A₂ e^st Explanation

Explanation

d: x = X sin ωt ; θ = β sin ωt Explanation

Explanation

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