Natural Frequencies And Mode Shapes Of Flexible Mechanisms By A Transfer Matrix Method

Transfer matrices are used to calculate the natural frequencies and corresponding mode shapes of planar elastic mechanisms. Mechanism motion is discretized by dividing the motion into a finite number of intervals over which the mechanism is considered to be an instantaneous structure with constant geometry. A transfer matrix relating the continuous, non-zero components of the state vector across a pin joint is developed. An elastic four-bar mechanism is analyzed using a lumped mass model. © 1990