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CHAPTER 2 DYNAMIC FORCE ANALYSIS

CHAPTER 2 DYNAMIC FORCE ANALYSIS When the inertia forces are considered in the ANALYSIS of the mechanism, the ANALYSIS is known as DYNAMIC FORCE ANALYSIS . Now applying D Alembert principle one may reduce a DYNAMIC system into an equivalent static system and use the techniques used in static FORCE ANALYSIS to study the system. Inertia FORCE and couple Figure 1: Illustration of inertia FORCE (i) a translating body (ii) a compound pendulum, (iii) inertia FORCE and couple on compound pendulum. Consider a body of mass moving with acceleration as shown in figure 1(i). According to D Alembert Principle, the body can be brought to equilibrium position by applying a FORCE equal to maiFma=and in a direction opposite to the direction of acceleration.

where, mi is the mass of the link i, Ii is the moment of inertia about an axis passing through the centre of mass gi and perpendicular to plane of rotation of the link i, agi and αgi are the acceleration and angular acceleration of the centre of mass of the ith link respectively. Fig.2. The Free-body diagrams of (a) Link 2(crank/input link) (b) Link

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