book

Applied Engineering Analysis

by Tai-Ran Hsu

April 2018

Intermediate to advanced

528 pages

17h 27m

English

Wiley

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1.1 Introduction1.2 Engineering Analysis and Engineering Practices1.3 “Toolbox” for Engineering Analysis1.4 The Four Stages in Engineering Analysis1.5 Examples of the Application of Engineering Analysis in Design1.6 The “Safety Factor” in Engineering Analysis of StructuresProblems
2.1 Introduction2.2 Mathematical Modeling Terminology2.3 Applications of Integrals2.4 Special Functions for Mathematical Modeling2.5 Differential EquationsProblems
3.1 Vector and Scalar Quantities3.2 Vectors in Rectangular and Cylindrical Coordinate Systems3.3 Vectors in 2D Planes and 3D Spaces3.4 Vector Algebra3.5 Vector Calculus3.6 Applications of Vector Calculus in Engineering Analysis3.7 Application of Vector Calculus in Rigid Body DynamicsProblems

4.1 Introduction to Linear Algebra and Matrices4.2 Determinants and Matrices4.3 Different Forms of Matrices4.4 Transposition of Matrices4.5 Matrix Algebra4.6 Matrix Inversion, [A]−14.7 Solution of Simultaneous Linear Equations4.8 Eigenvalues and EigenfunctionsProblems
5.1 Introduction5.2 Representing Periodic Functions by Fourier Series5.3 Mathematical Expression of Fourier Series5.4 Convergence of Fourier Series5.5 Convergence of Fourier Series at DiscontinuitiesProblems
6.1 Introduction6.2 Mathematical Operator of Laplace Transform6.3 Properties of the Laplace Transform6.4 Inverse Laplace Transform6.5 Laplace Transform of Derivatives6.6 Solution of Ordinary Differential Equations Using Laplace Transforms6.7 Solution of Partial Differential Equations Using Laplace TransformsProblems
7.1 Introduction7.2 Solution Methods for First-order Ordinary Differential Equations7.3 Application of First-order Differential Equations in Fluid Mechanics Analysis7.4 Liquid Flow in Reservoirs, Tanks, and Funnels7.5 Application of First-order Differential Equations in Heat Transfer Analysis7.6 Rigid Body Dynamics under the Influence of GravitationProblems
8.1 Introduction8.2 Solution Method for Typical Homogeneous, Second-order Linear Differential Equations with Constant Coefficients8.3 Applications in Mechanical Vibration Analyses8.4 Mathematical Modeling of Free Mechanical Vibration: Simple Mass–Spring Systems8.5 Modeling of Damped Free Mechanical Vibration: Simple Mass–Spring Systems8.6 Solution of Nonhomogeneous, Second-order Linear Differential Equations with Constant Coefficients8.7 Application in Forced Vibration Analysis8.8 Near Resonant Vibration8.9 Natural Frequencies of Structures and Modal AnalysisProblems
9.1 Introduction9.2 Partial Derivatives9.3 Solution Methods for Partial Differential Equations9.4 Partial Differential Equations for Heat Conduction in Solids9.5 Solution of Partial Differential Equations for Transient Heat Conduction Analysis9.6 Solution of Partial Differential Equations for Steady-state Heat Conduction Analysis9.7 Partial Differential Equations for Transverse Vibration of Cable Structures9.8 Partial Differential Equations for Transverse Vibration of MembranesProblems
10.1 Introduction10.2 Engineering Analysis with Numerical Solutions10.3 Solution of Nonlinear Equations10.4 Numerical Integration Methods10.5 Numerical Methods for Solving Differential Equations10.6 Introduction to Numerical Analysis Software PackagesProblems
11.1 Introduction11.2 The Principle of Finite-element Analysis11.3 Steps in Finite-element Analysis11.4 Output of Finite-element Analysis11.5 Elastic Stress Analysis of Solid Structures by the Finite-element Method11.6 General-purpose Finite-element Analysis CodesProblems
12.1 Introduction12.2 Statistics in Engineering Practice12.3 The Scope of Statistics12.4 Common Concepts and Terminology in Statistical Analysis12.5 Standard Deviation (σ) and Variance (σ2)12.6 The Normal Distribution Curve and Normal Distribution Function12.7 Weibull Distribution Function for Probabilistic Engineering Design12.8 Statistical Quality Control12.9 Statistical Process Control12.10 The “Control Charts”Problems

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