DYNAMICS OF MACHINES To know the purpose for which the m/c is needed.

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Presentation transcript:

DYNAMICS OF MACHINES To know the purpose for which the m/c is needed. To develop concept design. To analyze the motion involved - Kinematics To calculate & analyze the forces and torques required for producing the motion - Kinetics To give physical shape to the components. - Machine Design

STATIC FORCE ANALYSIS IN MACHINES To evaluate the forces acting on the machine members at a particular configuration. Each configuration is considered as system of rigid bodies in static equilibrium under the action of external forces. Helps in finding load carried by each part of the machine during cycle of its operation

TYPES OF FORCES Applied forces : Gas, hydraulic & pneumatic forces etc.. Electrical, magnetic & gravity forces Constraint forces : Reaction forces. Friction forces. Inertia forces. Due to mass of accelerating parts

Condition for static equilibrium ∑ F i = 0 ∑ Mi = 0 F2 M/c part CG F5 F3 F4

EQUATIONS FOR STATIC EQUILIBRIUM Fi = 0 M i = 0

EQUILIBRIUM OF TWO FORCE AND THREE FORCE MEMBERS Two force member in equilibrium F2 F1

THREE FORCE MEMBER IN EQUILIBRIUM

O2 A FBDof Link 2 P B P FBDof Link 3 P FBDof Link 4 3 2 4 1 C12 2 F32 STATIC FORCE ANALYSIS IN SLIDER-CRANK MACHANISM A 3 2 4 FBDof Link 2 O2 P 1 B C12 2 F32 F34 F12 4 P F34 F23 FBDof Link 3 F14 A F14 P 3 FBDof Link 4 B F43

STATIC FORCE ANALYSIS IN 4-BAR MECHANISM 3 B A F14 C 4 4 2 P F14 P P F34 O2 O4 F43 3 F32 h C12 F23 F12 O2 C12 = F32 X h

O2 P 6 5 C B 3 6 P A 2 F56 C 5 O2 4 F16 1 P F16 O4 F56

F65 5 F45 C O F54 F54 LINE OF ACTION OF F34 F14 3 F34 LINE OF ACTION OF F14 4 F32 A 2 F43 3 C12 F23 O2 F12

Inertia force - m a Inertia torque - I α

D’ Alemberts principle In order to find the effect of inertia of the actual link on the forces transmitted to the adjacent links of a mechanism, the actual link may be replaced by a rigid mass-less link to which inertia force F i = -ma is applied. The mass-less link is then under equilibrium under systems of forces along with inertia force.