Controls |
State-Space Models |
Section 10.2.2 |
Transfer Function Models |
Section 10.2.3 |
Model Connections – Closed-Loop Systems and System Response |
Section 10.3 |
PID Control System |
Example 10.1 |
Root Locus |
Section 10.4.1 |
Bode Plot |
Section 10.4.2 |
Nichols Plot |
Section 10.4.3 |
Engineering Mathematics |
Evaluating a Fourier Series |
Example 2.1 |
Convergence of a Series |
Example 2.2 |
Summing a Double Series |
Example 2.3 |
Solution of a System of Equations |
Example 2.4 |
Secant Method |
Example 3.14 |
Solution of a System of Equations |
Example 4.2 |
Radius of Curvature |
Example 4.10 |
Euler–Lagrange Equation |
Example 4.11 |
Fourier Coefficients |
Example 4.13 |
Cauchy Integral Formula |
Example 4.18 |
System of First-Order Equations and the Matrix Exponential |
Example 4.23 |
Laplace Transform Solution of an Inhomogeneous Differential Equation #1 |
Example 4.29 |
Laplace Transform Solution of an Inhomogeneous Differential Equation #2 |
Example 4.31 |
Limit Using Assumptions |
Example 4.4 |
Perturbation Solution #1 |
Example 4.7 |
Perturbation Solution #2 |
Example 4.8 |
Poincare Plot |
Example 5.11 |
Nonlinear Ordinary Differential Equation |
Example 5.12 |
Second-Order Differential Equation: Periodic Inhomogeneous Term |
Example 5.15 |
Interpolation Function from Some Data |
Example 5.24 |
Function’s Parameters for a Fit to Some Data |
Example 5.25 |
Parametric Solution to a Nonlinear Differential Equation |
Example 5.26 |
Fluid Mechanics |
Flow Around a Cylinder |
Example 6.6 |
Air Entrainment by Liquid Jets |
Example 5.14 |
Flow Around an Ellipse |
Example 7.6 |
Laminar Flow in Horizontal Cylindrical Pipes |
Section 11.5.1 |
Flow in Three Reservoirs |
Section 11.5.2 |
Pressure Coefficient of a Joukowski Airfoil |
Section 11.6.1 |
Surface Profile in Nonuniform Flow in Open Channels |
Section 11.6.2 |
Heat Transfer |
Heat Conduction in a Slab |
Example 5.13 |
One-Dimensional Transient Heat Diffusion in Solids |
Section 11.2.1 |
Heat Transfer in Concentric Spheres: Ablation of a Tumor |
Section 11.2.2 |
Heat Flow Through Fins |
Section 11.2.3 |
Natural Convection Along Heated Plates |
Section 11.3 |
View Factor Between Two Parallel Rectangular Surfaces |
Section 11.4 |
Kinematics |
Four-Bar Linkage |
Example 7.7 |
Signal Processing |
Spectral Analysis of a Sine Wave |
Example 5.27 |
Spectral Analysis of a Sine Wave of Finite Duration |
Example 5.28 |
Cross-Correlation of a Signal with Noise |
Example 5.29 |
Sum of Two Sinusoidal Signals |
Example 7.2 |
Steerable Sonar/Radar Array |
Example 7.3 |
Effects of Filters on Sinusoidal Signals |
Example 10.2 |
Effects of Windows on Spectral Analysis |
Example 10.3 |
Spectrum Averaging |
Example 10.4 |
Aliasing |
Example 10.5 |
Statistics |
Histograms |
Example 9.1 |
Whisker Plot |
Section 9.1.5 |
Confidence Intervals |
Section 9.2.4 |
Hypothesis Testing |
Section 9.2.5 |
Simple Linear Regression |
Section 9.3.1 |
Multiple Linear Regression |
Section 9.3.2 |
Nonlinear Regression Analysis |
Section 9.4 |
Two-Factor ANOVA |
Example 9.2 |
Four-Factor Factorial Analysis |
Example 9.3 |
Structures |
Analysis of Beams |
Example 4.20 |
Deformation of a Timoshenko Beam |
Example 4.21 |
Beam with a Concentrated Load |
Example 5.4 |
Beam with an Overhang |
Example 5.5 |
Beam with Abrupt Change in Properties |
Example 5.6 |
Deflection of a Uniformly Loaded Solid Circular Plate |
Example 5.16 |
von Mises Stress in a Stretched Plate with a Hole |
Example 7.4 |
Analysis of Beams |
Example 7.5 |
Vibrations |
Natural Frequencies of a Three Degrees-of-Freedom System |
Example 2.5 |
Natural Frequency Coefficient of a Two Degrees-of-Freedom System |
Example 3.5 |
Natural Frequencies of Beams |
Example 4.5 |
Peak Amplitude Response of a Single Degree-of-Freedom System |
Example 4.9 |
Response of a Two Degrees-of-Freedom System |
Example 4.30 |
Two Degrees-of-Freedom System Revisited |
Example 5.7 |
Particle Impact Damper |
Example 5.8 |
Change in Period of a Nonlinear System |
Example 5.9 |
Single Degree-of-Freedom System |
Example 5.10 |
Natural Frequencies of a Beam Clamped at Both Ends |
Example 5.20 |
Mode Shape of a Circular Membrane |
Example 6.10 |
Periodic Force on a Single Degree-of-Freedom System |
Section 8.2.1 |
Squeeze Film Damping and Viscous Fluid Damping |
Section 8.2.2 |
Electrostatic Attraction |
Section 8.2.3 |
Single Degree-of-Freedom System Energy Harvester |
Section 8.2.4 |
Response to Harmonic Excitation: Amplitude Response Functions |
Section 8.3.2 |
Enhanced Energy Harvester |
Section 8.3.3 |
Natural Frequencies and Mode Shapes of a Cantilever Beam with In-Span Attachments |
Section 8.4.1 |
Effects of Electrostatic Force on Natural Frequency and Stability of a Beam |
Section 8.4.2 |
Response of a Cantilever Beam with an In-span Attachment to an Impulse Force |
Section 8.4.3 |