Derivative Feedback Control

The derivative feedback scheme shown opposite is designed to control the percentage overshoot and decay rate of an under-damped system.

Where D is the derivative gain.

1       Construct the derivative feedback system using your differential equation model of section A and determine the value of D required to provide a unite step response with 10% overshoot.

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Vibration of Coupled Mass-Spring Systems

結合質量ばねシステムの振動

耦合质量弹簧系统的振动

Packing Case: Harmonic Motion

A manufacturer of delicate equipment ships his products, which have a mass m, by fitting them with a spring mounting of stiffness k. It is found that damage to the equipment is caused by large amplitude vibrations in the vertical direction.

A special packing is therefore considered.

The packing case, of mass m, is supported on a spring mounting of stiffness k; two pieces of equipment, each of mass m, are supported within the case by three springs each of stiffness k, as shown.

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packing_case.c

Slender bars couple by a spring

 

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