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Finite Element Analysis Lecture 8 Dr./ Ahmed Nagib April 30, 2016

Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

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Page 1: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

Finite Element AnalysisLecture 8

Dr./ Ahmed Nagib

April 30, 2016

Page 2: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

Basics of Structural Dynamics

Page 3: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

1. Lumped Mass Model

Page 4: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional
Page 5: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

2. Single Degree of Freedom Model

Page 6: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional
Page 7: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional
Page 8: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

Damped Free Vibration

Page 9: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional
Page 10: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

Measuring Damping Coefficient

Page 11: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

Viscous Damping Coefficient c is not an intrinsic property of material

Page 12: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

3. Damping

Page 13: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional
Page 14: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

Material Damping

Page 15: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional
Page 16: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional
Page 17: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional
Page 18: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional
Page 19: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional
Page 20: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

4. Analysis Systems

Page 21: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

Modal Analysis

Page 22: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

Transient Structural Analysis

Page 23: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

Harmonic Response Analysis

Page 24: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

Explicit Dynamics

Page 25: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

Response Spectrum Analysis

Page 26: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

Random Vibration Analysis

Page 27: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

Tutorial 7 – Transient Analysis of a Lifting Fork

Page 28: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

Tutorial 7 – Transient Analysis of a Lifting Fork

Page 29: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

Basics of Explicit Dynamics

1. Implicit Integration Methods

Page 30: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional
Page 31: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional
Page 32: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

2. Explicit Integration Methods

Page 33: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional
Page 34: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional
Page 35: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

3. Solution Accuracy

Page 36: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional
Page 37: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

4. Integration Time Steps

Page 38: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional
Page 39: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

5. Automatic Mass Scaling

Page 40: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

6. Static Damping

Page 41: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

Tutorial 8 – Drop Test

Page 42: Finite Element Analysis Lecture 8 - Ahmed Nagibdrahmednagib.com/onewebmedia/Finite-Element-2016/FEA-Lect-8.pdf · Note that we assume that the spring force is Inearly proportional

Tutorial 8 – Drop Test