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7. FORCE ANALYSIS Fundamentals

AME 352 FORCE ANALYSIS Nikravesh 7-1 7. FORCE ANALYSIS This chapter discusses some of the methodologies used to perform FORCE ANALYSIS on mechanisms. The chapter begins with a review of some Fundamentals of FORCE ANALYSIS using vectors. Then a review of graphical and analytical methods of FORCE ANALYSIS on stationary mechanisms, known as static FORCE ANALYSIS , is provided. Finally, FORCE ANALYSIS of mechanisms in motion, known as dynamic FORCE ANALYSIS , will be discussed. Fundamentals FORCE vector A FORCE that acts on a point of a link carries the index of the point. For example FP. P FP Moment About A Point In planar systems, the moment of a FORCE about an arbitrary point is a moment vector along an axis perpendicular to the plane (z-axis).

1 F 1 T 2 T 2 (j) (i) (j) (i) F 1 F 1 Scalar and Vector Products In static and dynamic analysis, we often encounter vector operations such as scalar product or vector product. In this section a short review on how to evaluate such products is presented. Scalar (dot) product The scalar product of two vectors, such as F and V, can be determined ...

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