Unit 1 Dynamic force analysis of mechanisms

5 lecture hours

• D’Alembert’s principle
• equivalent offset inertia force
• dynamic analysis of four bar mechanism
• dynamic analysis of slider crank mechanism
• velocity & acceleration of piston
• angular velocity & angular acceleration of connecting rod, engine force analysis
• dynamically equivalent system
• inertia forces in reciprocating engines

Unit 2 Turning moment diagrams and flywheel

• Turning moment diagrams for IC engines
• fluctuation of energy and speed
• coefficient of fluctuation
• energy storage in flywheel
• dimensions of flywheel rim, flywheel applications in punching presses

Unit 3 Balancing of rotating and reciprocating systems

8 lecture hours

• Static and dynamic balancing
• balancing of several masses rotating in same and different planes
• balancing of reciprocating masses
• balancing of locomotives
• effects of partial balancing in locomotives
• secondary balancing
• balancing of inline engines
• balancing of ‘V’- engines
• balancing of radial engines
• balancing machines

Unit 4 Gyroscope

4 lecture hours

• Angular velocity
• angular acceleration
• gyroscopic couple and torque
• gyroscopic effects on ships
• stability of automobiles
• stability of two-wheel vehicle

Unit 5 Free vibrations and damped free vibrations

9 lecture hours

• Types and elements of vibration systems
• different methods of deriving equations of motion
• free undamped vibrations
• spring mass systems
• equivalent stiffness
• viscous damping
• damping factor
• under damped system
• critically damped system
• over damped system
• logarithmic decrement
• torsional vibrations - free torsional vibration of a two and three rotor system
• torsionally equivalent shaft and geared system vibrations

Unit 6 Forced damped vibrations

• Analytical solution of forced damped vibration
• vector representation of forced vibrations
• Magnification factor
• Frequency Response Functions (FRFs)
• force and motion transmissibility
• forced vibration with rotating and reciprocating unbalance
• forced vibration due to excitation of support

Unit 7 Critical speeds of shafts

4 lecture hours

• Critical speed of shaft carrying single rotor and having no damping
• Critical speed of shaft carrying single rotor and having damping
• secondary critical speeds in horizontal shafts
• critical speed of shaft having multiple rotors

Unit 8 Vibration Monitoring and Analysis

5 lecture hours

• Condition monitoring
• vibration measurement instruments and sensors
• data acquisition systems
• signal conditioning
• time domain analysis
• frequency domain analysis using FFT, spectrum and orbit analysis
• time-frequency domain analysis using STFT and Wavelet Transform
• vibration signatures for machinery fault diagnosis