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In FEM, the forced vibrations equation after Finite Element discretization of a structure can be expressed as which option?

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in Finite Element Method by (110k points)
In FEM, the forced vibrations equation after Finite Element discretization of a structure can be expressed as which option?

(a) Mẍ+Kẋ=F

(b) Mẍ+Kẋ=0

(c) Mẍ+Kx=F

(d) Mẍ+Kx=0

The question was posed to me during an internship interview.

My enquiry is from Eigen Value and Time Dependent Problems topic in chapter Single Variable Problems of Finite Element Method

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Correct choice is (c) Mẍ+Kx=F

Easiest explanation: The forced vibrations equation after Finite Element discretization of a structure can be expressed as Mẍ+Kx=F where M and K are the mass and stiffness matrices of the structure, F is the external load vector; x and ẍ are the displacement and acceleration vectors. In the forced vibration equation the force vector is non-zero.

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