Introduction of Structural Dynamics, differential equations in civil engineering, types of analysis/static and dynamic load, degree of freedom ,generation of stiffness matrix), dynamic equilibrium equation, solution of equilibrium equation, Undamped free vibration solution, natural period/frequency ,energy in free vibration, damped free vibration, types of damping, logarithmic decrement equation.
UNIT – II:
Undamped forced vibration , amplitude & phase angle , dynamic amplification factor for deflection(Rd), damped forced vibration, relationship between Rd, Rv, & Ra , Resonant frequency and half power band width, force transmission and Isolation, Introduction of vibration measuring Instruments.
UNIT – III:
Response to Unit Impulse , response to arbitrary force ( duhamel’s Integral), response to step and ramp forces, response to rectangular pulse, half sinusoidal wave, time stepping methods, central difference method, Newmark’s Method , Concept of response spectrum, uses of response spectrum, response of structure in frequency domain.
UNIT – IV:
Equation of Motion for MDOF System , Solution of equation, natural frequencies and mode shapes, modal orthogonality, approximate method for finding natural frequency , Time History Analyis, Response spectrum Analysis, 3 D dynamic Analysis , Vibration of continuous systems, shear behavior and bending behavior, generalized SDOF.
UNIT – V:
Dynamics of rigid blocks, Non structural elements, floor response spectrum, Introduction to vibration control, active control, passive control, design of tuned mass damper by displacement and energy perspectives.