Curriculum Map

Course: Vibration and Control

Author
Ali Sadegh, Editor, Marks' Standard Handbook for Mechanical Engineers, 11th Edition

Course Topics

VIBRATION

CONTROL

Vibration

Free Vibration of Damped Systems

Relevant Material Type Description Source
Single Degree of Freedom Systems Text
   Marks' Standard Handbook for Mechanical Engineers
Equivalent spring constants Table Table 3.4.1 Marks' Standard Handbook for Mechanical Engineers
Harmonic oscillators and natural frequencies Table Table 3.4.2 Marks' Standard Handbook for Mechanical Engineers
Logarithmic decrement Figure Fig. 3.4.3 Marks' Standard Handbook for Mechanical Engineers
Definitions of logarithmic decrement Text Including eq. 3.4.18 to 3.4.21 Marks' Standard Handbook for Mechanical Engineers
Frequency response plots Table Fig. 3.4.4 Marks' Standard Handbook for Mechanical Engineers
Transmissibility plots Ftr/F0 versus w/W n Table Fig. 3.4.5, including equations 3.4.31 and 3.4.32 Marks' Standard Handbook for Mechanical Engineers
Relation between the excitation frequency f and the static deflection Table Fig 3.4.6 Marks' Standard Handbook for Mechanical Engineers
Inertial unbalance of four-stroke-per-cycle engines Figure Table 3.4.3 Marks' Standard Handbook for Mechanical Engineers
Vibration Isolation Video The topic of vibration isolation is considered in this video. Figures 3.4.5, 3.4.6, and 3.4.7 are used to investigate the vibration isolation requirements of a system. Marks' Standard Handbook for Mechanical Engineers
The shock spectrum Figure Fig. 3.4.22 Marks' Standard Handbook for Mechanical Engineers
Shock spectrum Video This video illustrates the use of the Shock Spectrum, Figure 3.4.22, to analyze the shock load of a simple beam system. Table 3.4.2 is also used to help characterize the system. Marks' Standard Handbook for Mechanical Engineers

Multi-Degree-of-Freedom Systems

Relevant Material Type Description Source
Multi-Degree-of-Freedom Systems Text   Marks' Standard Handbook for Mechanical Engineers
Multi-degree-of-freedom system Figure Fig. 3.4.23 Marks' Standard Handbook for Mechanical Engineers
Vibration absorber Figure Fig. 3.4.25 Marks' Standard Handbook for Mechanical Engineers

Vibration of Rods, Shafts and Strings

Relevant Material Type Description Source
Vibration of Rods, Shafts and Strings Text   Marks' Standard Handbook for Mechanical Engineers
Analogous Quantities for Rods, Shafts, and Strings Table Table 3.4.4 Marks' Standard Handbook for Mechanical Engineers
Normalized Natural Frequencies for Various Beams Table Table 3.4.6 Marks' Standard Handbook for Mechanical Engineers

Vibration of Continuous System, Membrane and Plates

Relevant Material Type Description Source
Vibration of Membranes Text   Perry's Chemical Engineers' Handbook
Uniform circular membrane fixed at r = a. Text   Marks' Standard Handbook for Mechanical Engineers
Circular membrane normalized natural frequencies Table Table 3.4.7 Marks' Standard Handbook for Mechanical Engineers
Circular plate normalized natural frequencies Table Table 3.4.8 Marks' Standard Handbook for Mechanical Engineers
Potential energy for various systems Table Table 3.4.9 Marks' Standard Handbook for Mechanical Engineers

CONTROL

Transient Control Systems

Relevant Material Type Description Source
Transient Analysis of a Control System Text   Marks' Standard Handbook for Mechanical Engineers
System response to a unit step-function command Figure Fig. 16.2.7 Marks' Standard Handbook for Mechanical Engineers
Transient response of a 2nd order viscous-damped control Figure Fig. 16.2.9 Marks' Standard Handbook for Mechanical Engineers
Derivative and integral compensation of a basic closed-loop system Figure Fig. 16.2.12 Marks' Standard Handbook for Mechanical Engineers

Block Diagrams

Relevant Material Type Description Source
Block Diagrams Text
   Marks' Standard Handbook for Mechanical Engineers
Single-loop feedback control system Figure Fig. 16.2.15 Marks' Standard Handbook for Mechanical Engineers
Reduction of a closed-loop control system with multiple 2nd loops Figure Fig. 16.2.16 Marks' Standard Handbook for Mechanical Engineers

Controller Mechanisms

Relevant Material Type Description Source
Controller Mechanisms Text
   Marks' Standard Handbook for Mechanical Engineers
Gain reduction of pneumatic amplifier by means of feedback bellows Figure Fig. 16.2.18 Marks' Standard Handbook for Mechanical Engineers
Proportional controller with negative feedback Figure Fig. 16.2.19 Marks' Standard Handbook for Mechanical Engineers
Proportional-derivative controller Figure Fig. 16.2.20 Marks' Standard Handbook for Mechanical Engineers
Proportional-integral controller Figure Fig. 16.2.21 Marks' Standard Handbook for Mechanical Engineers
Simplified circuit for a typical electronic controller Figure Fig. 16.2.22 Marks' Standard Handbook for Mechanical Engineers
Block diagram of PID controller Figure Fig. 16.2.23 Marks' Standard Handbook for Mechanical Engineers
Combined controller block diagram Figure Fig. 16.2.24 Marks' Standard Handbook for Mechanical Engineers

Controller Elements

Relevant Material Type Description Source
Final Control Elements Text
   Marks' Standard Handbook for Mechanical Engineers
Control valve and pneumatic actuator Figure Fig. 16.2.25 Marks' Standard Handbook for Mechanical Engineers
Control valve linear flow characteristic Figure Fig. 16.2.26 Marks' Standard Handbook for Mechanical Engineers

Hydraulic-Valves Control Systems

Relevant Material Type Description Source
Hydraulic-Control Systems Text
   Marks' Standard Handbook for Mechanical Engineers
Four-way valve-piston circuit Figure Fig. 16.2.27 Marks' Standard Handbook for Mechanical Engineers
Valve-piston position servomechanical feedback Figure Fig. 16.2.28 Marks' Standard Handbook for Mechanical Engineers
Two-stage electrohydraulic servo valve Figure Fig. 16.2.29 Marks' Standard Handbook for Mechanical Engineers
Flapper valve Figure Fig. 16.2.30 Marks' Standard Handbook for Mechanical Engineers
Equilibrium curve of P2 versus x for a flapper valve Figure Fig. 16.2.31 Marks' Standard Handbook for Mechanical Engineers

Closed-Loop Block Diagram

Relevant Material Type Description Source
Closed-Loop Block Diagram Text
   Marks' Standard Handbook for Mechanical Engineers
Block diagram of a thermal system Figure Fig. 16.2.32 Marks' Standard Handbook for Mechanical Engineers
Process characteristics versus mode of control Table Table 16.2.3 Marks' Standard Handbook for Mechanical Engineers

Frequency Response

Relevant Material Type Description Source
Frequency Response Text   Marks' Standard Handbook for Mechanical Engineers
Nyquist Plot Text   Marks' Standard Handbook for Mechanical Engineers
Nyquist diagram for G(s) 1/[s(s + a)(s + b)] Figure Fig. 16.2.34 Marks' Standard Handbook for Mechanical Engineers
Typical Nyquist diagram showing loop transfer function Figure Fig. 16.2.36 Marks' Standard Handbook for Mechanical Engineers
Bode Diagram Text   Marks' Standard Handbook for Mechanical Engineers
Typical Bode diagram showing loop-transfer function B/E Figure Fig. 16.2.38 Marks' Standard Handbook for Mechanical Engineers
Frequency-response equations for some common control-system elements Table Table 16.2.4 Marks' Standard Handbook for Mechanical Engineers

Stability and Performance of an Automatic Control System

Relevant Material Type Description Source
Stability and Performance of an Automatic Control Text   Marks' Standard Handbook for Mechanical Engineers
Typical KG (jv) loci illustrating application of Nyquist's stability criterion Figure Fig. 16.2.40 Marks' Standard Handbook for Mechanical Engineers
Nyquist stability criterion in terms of log magnitude KG (jv) diagrams Figure Fig. 16.2.41 Marks' Standard Handbook for Mechanical Engineers

Sampled-Data Control Systems

Relevant Material Type Description Source
Sampled-Data Control Systems Text   Marks' Standard Handbook for Mechanical Engineers
Typical block diagrams of sampled-data control systems and their transforms Table Table 16.2.6 Marks' Standard Handbook for Mechanical Engineers
Modern Control Techniques Text   Marks' Standard Handbook for Mechanical Engineers
Summary of the robustness properties of the LQG block diagram Figure Fig. 16.2.44 Marks' Standard Handbook for Mechanical Engineers
Procedure for LQG/LTR Compensator Design Text   Marks' Standard Handbook for Mechanical Engineers
Block diagram of unity-feedback LQG/LTR control system Figure Fig. 16.2.49 Marks' Standard Handbook for Mechanical Engineers
Block diagram of LQG system Figure Fig. 16.2.50 Marks' Standard Handbook for Mechanical Engineers
General process flow diagram of the deaerator Figure Fig. 16.2.51 Marks' Standard Handbook for Mechanical Engineers

LQG/LTR Controller Design

Relevant Material Type Description Source
LQG/LTR Controller Design Text   Marks' Standard Handbook for Mechanical Engineers
Open-loop frequency response of the PI, LQG, LQG/LTR control system Figure Fig. 16.2.53 Marks' Standard Handbook for Mechanical Engineers
Block diagram of a PI control system Figure Fig. 16.2.54 Marks' Standard Handbook for Mechanical Engineers
Analysis of Singular-Value Plots Text   Marks' Standard Handbook for Mechanical Engineers
System design specifications Table Table 16.2.8 Marks' Standard Handbook for Mechanical Engineers
Performance and robustness results Table Table 16.2.9 Marks' Standard Handbook for Mechanical Engineers
Block diagram for heated stirred-tank closed-loop temperature feedback control using state differential equations Figure Fig. 16.2.61 Marks' Standard Handbook for Mechanical Engineers