Question

Problem The vertical suspension system of an automobile can be modelled as an SDOF spring-mass-damper system of the form [ m ddot{x}+c dot{x}+k x=0 ] where, ( m ) is the mass of the automobile, and ( c ) and ( k ) are the equivalent damping and stiffness of all four shockabsorber-spring systems. The automobile, which weighed 1360 kg , was originally designed to have a damping ratio ( zeta ) of 0.3 , and its suspension deflected vertically by 0.05 m under the weight of the car. In the new model, it has been decided to use a heavier, more powerful engine while retaining the exact same body as before. The automobile, with the new engine, now weighs 1650 kg . For the damping coefficient ( zeta ) to remain unchanged (i.e., 0.3 ) and using the same springs as before, what design values of equivalent damping coefficient ( c ) would you recommend?

          Problem
The vertical suspension system of an automobile can be modelled as an SDOF spring-mass-damper system of the form
[
m ddot{x}+c dot{x}+k x=0
]
where, ( m ) is the mass of the automobile, and ( c ) and ( k ) are the equivalent damping and stiffness of all four shockabsorber-spring systems.
The automobile, which weighed 1360 kg , was originally designed to have a damping ratio ( zeta ) of 0.3 , and its suspension deflected vertically by 0.05 m under the weight of the car.
In the new model, it has been decided to use a heavier, more powerful engine while retaining the exact same body as before. The automobile, with the new engine, now weighs 1650 kg . For the damping coefficient ( zeta ) to remain unchanged (i.e., 0.3 ) and using the same springs as before, what design values of equivalent damping coefficient ( c ) would you recommend?

Problem
The vertical suspension system of an automobile can be modelled as an SDOF spring-mass-damper system of the form
[
m ddotx+c dotx+k x=0
]
where, ( m ) is the mass of the automobile, and ( c ) and ( k ) are the equivalent damping and stiffness of all four shockabsorber-spring systems.
The automobile, which weighed 1360 kg , was originally designed to have a damping ratio ( zeta ) of 0.3 , and its suspension deflected vertically by 0.05 m under the weight of the car.
In the new model, it has been decided to use a heavier, more powerful engine while retaining the exact same body as before. The automobile, with the new engine, now weighs 1650 kg . For the damping coefficient ( zeta ) to remain unchanged (i.e., 0.3 ) and using the same springs as before, what design values of equivalent damping coefficient ( c ) would you recommend?

Added by Fahad M.

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