F(t)=mx''+kx'+cx If the initial conditions are zero, that is, x'(0) = 0 and x(0) = 0 and F(t) is a harmonic load, then is the system response transient? If the mass of the system increases, how does this influence the natural frequency of the system and the time it takes to reach steady state? If the stiffness constant of the system is decreased, does the frequency of the steady state response change? Does the response of the system in steady state depend on its initial conditions? Taking into consideration that the vibration frequency in the transient regime is ωd =ωnsqrt(1-b), how does the magnitude of the damping constant c affect the response of the system in the transient regime?
F(t)=mx''+kx'+cx
If the initial conditions are zero, that is, x'(0) = 0 and x(0) = 0 and F(t) is a harmonic load, then is the system response transient?
If the mass of the system increases, how does this influence the natural frequency of the system and the time it takes to reach steady state?
If the stiffness constant of the system is decreased, does the frequency of the steady state response change?
Does the response of the system in steady state depend on its initial conditions?
Taking into consideration that the vibration frequency in the transient regime is ωd =ωnsqrt(1-b), how does the magnitude of the damping constant c affect the response of the system in the transient regime?
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If the system has a damping value of less than 1, then can these answers change? For example, under this condition, will the system have a transient response?
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