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Teaching the Difference Between Stiffness and Damping

L e c t u r e N o t e s AUGUST 2012 IEEE CONTROL SYSTEMS MAGAZINE 951066-033X/12/$ 2012ieeeTeaching the Difference Between Stiffness and DampingHENRY C. Fu and KAM K. LEANGthe simple spring, mass, and damper system is ubiq-uitous in dynamic systems and controls courses [1]. This column considers a concept students often have trouble with: the Difference Between a soft system, which has a small elastic restoring force, and a damped system, which dissipates energy quickly.

Fu and Kam K. Leang discuss the difference between stiffness and damping when understanding the dynamics of mechanical systems. High Q, Large k Low Q, Small k 20 (b) 0 –20 –40 Magnitude (dB) 1 2 Frequency (rad/s) 5 10 20 50 x c k (a) F m Figure 1 (a) The classic parallel mass-spring-damper system with mass m, damping constant c, and spring ...

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