TY - JOUR

T1 - Coriolis acceleration analysis of planar mechanisms by complex-number algebra

AU - Sandor, George N.

AU - Raghavacharyulu, E.

AU - Erdman, Arthur G.

PY - 1982

Y1 - 1982

N2 - One of the pitfalls in current methods of acceleration analysis of planar mechanisms is the difficulty in identifying the different types of acceleration components such as the "sliding" acceleration and the Coriolis contribution. Furthermore, the latter is often missed by the analyst altogether which then leads to completely false results in dynamic analysis. Even distinguished authors have on the record actual numerical examples where the wrong angular velocity was used in computing the Coriolis component. The present article demonstrates the acceleration analysis of planar mechanisms using complex-number algebra. This technique, when programmed for digital computation using complex-arithmetic, or using hand calculation, provides the magnitude and direction of all the acceleration components, including the Coriolis term, automatically without resort to such crutches as a "rule of thumb" for determining whether or not the latter is present, "traditional sign conventions", and without the risk of using the wrong angular velocity. The procedure, derived here, is illustrated by examples.

AB - One of the pitfalls in current methods of acceleration analysis of planar mechanisms is the difficulty in identifying the different types of acceleration components such as the "sliding" acceleration and the Coriolis contribution. Furthermore, the latter is often missed by the analyst altogether which then leads to completely false results in dynamic analysis. Even distinguished authors have on the record actual numerical examples where the wrong angular velocity was used in computing the Coriolis component. The present article demonstrates the acceleration analysis of planar mechanisms using complex-number algebra. This technique, when programmed for digital computation using complex-arithmetic, or using hand calculation, provides the magnitude and direction of all the acceleration components, including the Coriolis term, automatically without resort to such crutches as a "rule of thumb" for determining whether or not the latter is present, "traditional sign conventions", and without the risk of using the wrong angular velocity. The procedure, derived here, is illustrated by examples.

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U2 - 10.1016/0094-114X(82)90033-7

DO - 10.1016/0094-114X(82)90033-7

M3 - Article

AN - SCOPUS:0020296671

VL - 17

SP - 405

EP - 414

JO - Mechanism and Machine Theory

JF - Mechanism and Machine Theory

SN - 0374-1052

IS - 6

ER -