Savitribai Phule Pune University, Maharashtra (SPPU), Mechanical Engineering Semester 6, Computer Aided Engineering Syllabus

Unit - 1 Elemental Properties

Unit 1

Elemental properties

1.1 Introduction to Computer Aided Engineering CAE Use of CAE in Product development discretization methods – FINITE element Method FEM Finite Difference Method FDM and Finite Volume Method FVM CAE tools – Pre Processer Solver Post Processor

1.2 Element Shapes – 1D 2D and 3D elements Nodal Unknowns and field variables Coordinate systems Shape Functions – linear quadratic and cubic Convergence requirements of shape functions Derivation of polynomial shape functions using coordinate systems for Bar Beam Triangular and rectangular elements.

Unit - 2 Meshing Techniques

Unit 2

Meshing Techniques

2.1 Discretization of a structure 1D 2D and 3D element meshing Elements selection criteria refining mesh Effect of mesh density in critical region use of symmetry

2.2 Element Quality Criterion Jacobean Aspect ratio Warpage minimum and maximum angles

2.3 Average element size minimum length skewness tetra collapse etc.

2.4 Higher Order element vs mesh refinement geometry associate mesh mesh quality bolted and welded joints representation mesh independent test

Unit - 3 1D Finite Element Analysis

Unit 3

1D Finite Element Analysis

3.1 Consistent unit system Introduction to approaches used in finite element analysis FEA such as direct approach and energy approach

3.2 Bar and Truss element – Element stiffness matrix Assembling stiffness equation load vector stress and reaction forces calculations

3.3 Temperature effect on bar element Calculation due to uniform temperature change stress and reaction forces calculations

Unit - 4 2D Finite Element Analysis

Unit 4

2D Finite Element Analysis

4.1 Plain stress strain axisymmetric problems in 2D elasticity

4.2 Constant Strain Triangle CST – Element stiffness matrix Assembling Stiffness equation Load Vector Stress and reaction forces calculations

4.3 Post Processing techniques Check and validate accuracy of results average and un average stresses and special tricks for post processing interpretation of results and design modifications CAE reports

Unit - 5 Non-Linear And Dynamic Analysis

Unit 5

NonLinear and Dynamic Analysis

5.1 Nonlinear analysis Introduction to nonlinear problems comparison of linear and nonlinear analysis types of nonlinearities stressstrain measures for nonlinear analysis analysis of geometric

5.2 Material nonlinearity solution techniques for nonlinear analysis newton Raphson method Essential steps in nonlinear analysis

5.3 Dynamic analysis Introduction to dynamic analysis Comparison of static and dynamic analysis

5.4 Time domain and frequency domain types of loading simple harmonic motion free vibration Boundary conditions of free vibration solution

Unit - 5 Non-Linear And Dynamic Analysis

Unit 5

NonLinear and Dynamic Analysis

5.1 Nonlinear analysis Introduction to nonlinear problems comparison of linear and nonlinear analysis types of nonlinearities stressstrain measures for nonlinear analysis analysis of geometric

5.2 Material nonlinearity solution techniques for nonlinear analysis newton Raphson method Essential steps in nonlinear analysis

5.3 Dynamic analysis Introduction to dynamic analysis Comparison of static and dynamic analysis

5.4 Time domain and frequency domain types of loading simple harmonic motion free vibration Boundary conditions of free vibration solution

Unit - 5 Non-Linear And Dynamic Analysis

Unit 5

NonLinear and Dynamic Analysis

5.1 Nonlinear analysis Introduction to nonlinear problems comparison of linear and nonlinear analysis types of nonlinearities stressstrain measures for nonlinear analysis analysis of geometric

5.2 Material nonlinearity solution techniques for nonlinear analysis newton Raphson method Essential steps in nonlinear analysis

5.3 Dynamic analysis Introduction to dynamic analysis Comparison of static and dynamic analysis

5.4 Time domain and frequency domain types of loading simple harmonic motion free vibration Boundary conditions of free vibration solution

Unit - 5 Non-Linear And Dynamic Analysis

Unit 5

NonLinear and Dynamic Analysis

5.1 Nonlinear analysis Introduction to nonlinear problems comparison of linear and nonlinear analysis types of nonlinearities stressstrain measures for nonlinear analysis analysis of geometric

5.2 Material nonlinearity solution techniques for nonlinear analysis newton Raphson method Essential steps in nonlinear analysis

5.3 Dynamic analysis Introduction to dynamic analysis Comparison of static and dynamic analysis

5.4 Time domain and frequency domain types of loading simple harmonic motion free vibration Boundary conditions of free vibration solution

Unit - 6 Applications Of Computer Aided Engineering

Unit 6

Applications of Computer Aided Engineering

6.1 Computational Fluid Dynamics CFD Introduction three dimensions of Fluid Dynamics Equilibriums equation for a fluid conversations form of fluid flow equation integral form of the conservation laws

6.2 Injection moulding of plastics Simplification of mould geometry for FEA material model for modul FEA boundry conditions for mould FEA loading of mould in FEA results analysis

6.3 Simulation for manufacturing process like casting and sheet metal applications introduction and workflow of casting simulation software and sheet metal applications

6.4 Durability Analysis Durability reliability and fatigue FEA bases fatigue analysis viz Stresslife approach SN method and strain life approach EN method

6.5 Crash analysis Introduction Explicit time integration schemes implicit integration schemes

6.6 Noise Vibration and hardness NVH analysis NVH concepts terminology FEA for structural Dynamics FEA for acoustics