In this video, we study the forced vibration of two degree of freedom systems. We show that we can set the equations of motion into the matrix representation and then use the complex exponential function for the forces and responses of the system to simplify and combine the matrices. Then, by setting the mechanical impedance matrix, we can find the amplitudes of the responses of the system using algebraic calculations. The impedance matrix method is a useful technique to find the amplitudes of vibrations for the two degrees of freedom. In the final step of finding the response expressions, we can take either the real part or imaginary part of the calculated solutions depending on the harmonic function of the excitation force.
#Forced_Vibration_Two_DOF_Systems
#Vibration
#Mechanical_Vibration
#Analysing_Forced_Vibration
#Mathematical_Equation
#Complex_Exponential_Function
#Mechanical_impedance_matrix
#Amplitude_of_Vibration
#Harmonic_Function
#Excitation_Force
#Two_Degrees_of_Freedom
#Response_Expression
#DOF
#Degrees_of_Freedom
#Equation_of_Motion
#excitation_force
