Introduction

Establishing the need for Vibration Control. The effect of vibration level on fatigue, structural vs. mechanical vibration severity evaluation, industry specific severity standards.

Workshop I: Concepts of Vibration Severity

Transient Free Vibrations

Damped and undamped free vibrations of single and multiple degree-of-freedom systems. Modal testing to determine natural frequencies, damping, and mode shapes. Intro to the concept of modal participation. Log decrement, equivalent spring and natural frequency calculations. Tuning natural frequencies to avoid resonance by changing stiffness and/or mass. Linear & non-linear stiffness, and temperature & strain rate effects on stiffness.

Workshop II: Free Vibrations

Forced Vibrations

Forced harmonic response, damping analysis, and base motion response. Forced response to periodic non-harmonic and impulse forces. Sensitivity of modes to placement of dynamic forces. Case histories involving force modification as a form of vibration control.

Workshop III Forced Vibrations

Basic Rotor Dynamic Vibration Control

Single & multiple degree-of-freedom models, modal mass, mode shapes, limitations of different modeling techniques, support & rotor stiffness asymmetry, flexible impellers, gyroscopic effects, centrifugal stress stiffening, and Lomakin effect in pump rotors. Rotor response on resilient mounts. Orbit analysis and subsynchronous stability of rotors on oil-film bearings. Natural frequency tuning techniques for rotors.

Workshop IV: Rotor Dynamics

Basic Structural Dynamics Vibration Control

Dynamic response of structural components of machines and flexible floor framing systems. Natural frequency tuning techniques to reduce vibration of structures. Theory and application of tuned Dynamic Vibration Absorbers (DVA) and Tuned Mass Dampers (TMD). Using multiple degree-of-freedom equations to describe interaction between structures and rotors.

Workshop V: Structural Dynamics

Systems subjected to Dynamic Pressure Pulsations

Sources of pulsations in pumps, fans & compressors, structural dynamics of piping and ductwork, acoustic resonance, vibration severity criteria for pipes, vortex shedding problems and solutions.  Pulsation issues in both centrifugal and positive displacement machines

Workshop VII: Dynamic Pulsations

Isolation

Theory of dynamic force Isolation, advantages and disadvantages of different isolator types, stability requirements for isolation systems, decoupling of isolated systems from support system. Load capacity and load distribution requirements. Case histories involving proper and improper use of isolation.

Workshop VI: Isolation