linear dynamics with abaqus - 3ds es day 1 lecture 1: introduction to abaqus linear dynamics lecture...

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R Linear Dynamics with Abaqus 6.12 www.3ds.com | © Dassault Systèmes Course objectives Upon completion of this course you will be able to: Extract eigenmodes about a certain frequency Determine whether the number of extracted eigenmodes is sufficient to represent the structure's response adequately Perform transient, steady-state, response spectrum and random response analyses using the eigenmodes Use multiple base motions Apply damping in linear problems Targeted audience Engineers with experience using Abaqus. Prerequisites None About this Course 2 days

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Page 1: Linear Dynamics with Abaqus - 3DS es Day 1 Lecture 1: Introduction to Abaqus Linear Dynamics Lecture 2: Extracting Real Eigenvalues Workshop 1: Eigenvalue Natural Frequency Extraction

R

Linear Dynamics with Abaqus

6.12

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Course objectives Upon completion of this course you will be able to:

Extract eigenmodes about a certain frequency

Determine whether the number of extracted eigenmodes is sufficient to represent the structure's response

adequately

Perform transient, steady-state, response spectrum and random response analyses using the eigenmodes

Use multiple base motions

Apply damping in linear problems

Targeted audience Engineers with experience using Abaqus.

Prerequisites None

About this Course

2 days

Page 2: Linear Dynamics with Abaqus - 3DS es Day 1 Lecture 1: Introduction to Abaqus Linear Dynamics Lecture 2: Extracting Real Eigenvalues Workshop 1: Eigenvalue Natural Frequency Extraction

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Day 1

Lecture 1: Introduction to Abaqus Linear Dynamics

Lecture 2: Extracting Real Eigenvalues

Workshop 1: Eigenvalue Natural Frequency Extraction

Lecture 3: Damping and Modal Superposition

Lecture 4: Base Motion Excitation

Lecture 5: Modal Transient Dynamics

Workshop 2: Modal Dynamics

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Day 2

Lecture 6: Response Spectrum Analysis

Workshop 3: Response Spectrum

Lecture 7: Steady-State Harmonic Response

Workshop 4: Steady-State Dynamics

Lecture 8: Introduction to Random Response

Workshop 5: Random Response Analysis

Lecture 9: Complex Eigenvalue Analysis

Page 3: Linear Dynamics with Abaqus - 3DS es Day 1 Lecture 1: Introduction to Abaqus Linear Dynamics Lecture 2: Extracting Real Eigenvalues Workshop 1: Eigenvalue Natural Frequency Extraction

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Additional Material

Appendix 1: Introduction to Nonlinear Dynamics

Appendix 2: Nonlinear Dynamics: Abaqus Usage

Appendix 3: Nonlinear Dynamics Examples

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Legal Notices

The Abaqus Software described in this documentation is available only under license from Dassault

Systèmes and its subsidiary and may be used or reproduced only in accordance with the terms of such

license.

This documentation and the software described in this documentation are subject to change without

prior notice.

Dassault Systèmes and its subsidiaries shall not be responsible for the consequences of any errors or

omissions that may appear in this documentation.

No part of this documentation may be reproduced or distributed in any form without prior written

permission of Dassault Systèmes or its subsidiary.

© Dassault Systèmes, 2012.

Printed in the United States of America

Abaqus, the 3DS logo, SIMULIA and CATIA are trademarks or registered trademarks of Dassault

Systèmes or its subsidiaries in the US and/or other countries.

Other company, product, and service names may be trademarks or service marks of their respective

owners. For additional information concerning trademarks, copyrights, and licenses, see the Legal

Notices in the Abaqus 6.12 Release Notes and the notices at:

http://www.3ds.com/products/simulia/portfolio/product-os-commercial-programs.

Page 4: Linear Dynamics with Abaqus - 3DS es Day 1 Lecture 1: Introduction to Abaqus Linear Dynamics Lecture 2: Extracting Real Eigenvalues Workshop 1: Eigenvalue Natural Frequency Extraction

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Revision Status

Lecture 1 5/12 Updated for 6.12

Lecture 2 5/12 Updated for 6.12

Lecture 3 5/12 Updated for 6.12

Lecture 4 5/12 Updated for 6.12

Lecture 5 5/12 Updated for 6.12

Lecture 6 5/12 Updated for 6.12

Lecture 7 5/12 Updated for 6.12

Lecture 8 5/12 Updated for 6.12

Lecture 9 5/12 Updated for 6.12

Appendix 1 5/12 Updated for 6.12

Appendix 2 5/12 Updated for 6.12

Appendix 3 5/12 Updated for 6.12

Workshop 1 5/12 Updated for 6.12

Workshop 2 5/12 Updated for 6.12

Workshop 3 5/12 Updated for 6.12

Workshop 4 5/12 Updated for 6.12

Workshop 5 5/12 Updated for 6.12

Page 5: Linear Dynamics with Abaqus - 3DS es Day 1 Lecture 1: Introduction to Abaqus Linear Dynamics Lecture 2: Extracting Real Eigenvalues Workshop 1: Eigenvalue Natural Frequency Extraction

L1.1

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The following topics are covered in this lesson.

Lesson content:

Introduction to Abaqus Linear Dynamics

Lesson 1: Introduction to Abaqus Linear Dynamics

1 1/2 hours

L1.2

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Here are the steps to be followed:

Introduction to Abaqus Linear Dynamics

1. Dynamic Response

2. When to Consider Dynamic Effects

3. Linear Dynamics Procedures

4. Linear Dynamics Software

Architecture

Page 6: Linear Dynamics with Abaqus - 3DS es Day 1 Lecture 1: Introduction to Abaqus Linear Dynamics Lecture 2: Extracting Real Eigenvalues Workshop 1: Eigenvalue Natural Frequency Extraction

L2.1

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The following topics are covered in this lesson.

Lesson content:

Extracting Real Eigenvalues

Workshop Preliminaries

Workshop 1: Eigenvalue Natural Frequency Extraction (IA)

Workshop 1: Eigenvalue Natural Frequency Extraction (KW)

Lesson 2: Extracting Real Eigenvalues

3 hours

Both interactive (IA) and keywords (KW) versions

of the workshop are provided. Complete only one.

L2.2

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Here are the steps to be followed:

Extracting Real Eigenvalues

1. Problem Formulation

2. Eigenvalue Solution Methods

3. Example: Engine Block Frequency

Extraction

4. Frequency Output

5. Frequencies of Preloaded Structures

6. Extracting Repeated

Eigenfrequencies

7. Residual Modes

8. Workshop Model Description

Page 7: Linear Dynamics with Abaqus - 3DS es Day 1 Lecture 1: Introduction to Abaqus Linear Dynamics Lecture 2: Extracting Real Eigenvalues Workshop 1: Eigenvalue Natural Frequency Extraction

L3.1

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The following topics are covered in this lesson.

Lesson content:

Damping and Modal Superposition

Lesson 3: Damping and Modal Superposition

90 minutes

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Here are the steps to be followed:

Damping and Modal Superposition

1. Introduction

2. Damping in Direct Solutions

3. Damping in Modal Subspace

Projection Solutions

4. Damping in Modal Superposition

Procedures

5. Material Damping

6. Element Damping

7. Global Damping

8. Modal Damping

9. Damping Controls

10. Summary

Page 8: Linear Dynamics with Abaqus - 3DS es Day 1 Lecture 1: Introduction to Abaqus Linear Dynamics Lecture 2: Extracting Real Eigenvalues Workshop 1: Eigenvalue Natural Frequency Extraction

L4.1

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The following topics are covered in this lesson.

Lesson content:

Base Motion Excitation

Lesson 4: Base Motion Excitation

45 minutes

L4.2

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Here are the steps to be followed:

Base Motion Excitation

1. Introduction

2. Primary Base Motion

3. Secondary Base Motions

4. Usage

5. Example

Page 9: Linear Dynamics with Abaqus - 3DS es Day 1 Lecture 1: Introduction to Abaqus Linear Dynamics Lecture 2: Extracting Real Eigenvalues Workshop 1: Eigenvalue Natural Frequency Extraction

L5.1

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The following topics are covered in this lesson.

Lesson content:

Modal Transient Dynamics

Workshop 2: Modal Dynamics (IA)

Workshop 2: Modal Dynamics (KW)

Lesson 5: Modal Transient Dynamics

2 hours

Both interactive (IA) and keywords (KW) versions

of the workshop are provided. Complete only one.

L5.2

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Here are the steps to be followed:

Modal Transient Dynamics

1. Introduction

2. Excitation and Output

3. Example

4. Subspace Solutions for Transient

Dynamics

Page 10: Linear Dynamics with Abaqus - 3DS es Day 1 Lecture 1: Introduction to Abaqus Linear Dynamics Lecture 2: Extracting Real Eigenvalues Workshop 1: Eigenvalue Natural Frequency Extraction

L6.1

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The following topics are covered in this lesson.

Lesson content:

Response Spectrum Analysis

Workshop 3: Response Spectrum (IA)

Workshop 3: Response Spectrum (KW)

Lesson 6: Response Spectrum Analysis

2 hours

Both interactive (IA) and keywords (KW) versions

of the workshop are provided. Complete only one.

L6.2

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Here are the steps to be followed:

Response Spectrum Analysis

1. Introduction

2. The Response Spectrum

3. Determining Peak Modal Response

4. Modal Summation Methods

5. Combining Results from Multiple

Spectrums

6. Spectrum Definition

7. Response Spectrum Usage

8. Response Spectrum Example

Page 11: Linear Dynamics with Abaqus - 3DS es Day 1 Lecture 1: Introduction to Abaqus Linear Dynamics Lecture 2: Extracting Real Eigenvalues Workshop 1: Eigenvalue Natural Frequency Extraction

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The following topics are covered in this lesson.

Lesson content:

Steady-State Harmonic Response

Workshop 4: Steady-State Dynamics (IA)

Workshop 4: Steady-State Dynamics (KW)

Lesson 7: Steady-State Harmonic Response

2 hours

Both interactive (IA) and keywords (KW) versions

of the workshop are provided. Complete only one.

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Here are the steps to be followed:

Steady-State Harmonic Response

1. Introduction

2. Steady-State Dynamics Solution

Procedures

3. Excitation and Output

4. Steady-State Dynamics Usage

5. Comparative Example

Page 12: Linear Dynamics with Abaqus - 3DS es Day 1 Lecture 1: Introduction to Abaqus Linear Dynamics Lecture 2: Extracting Real Eigenvalues Workshop 1: Eigenvalue Natural Frequency Extraction

L8.1

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The following topics are covered in this lesson.

Lesson content:

Introduction to Random Response

Workshop 5: Random Response Analysis (IA)

Workshop 5: Random Response Analysis (KW)

Lesson 8: Introduction to Random Response

2 hours

Both interactive (IA) and keywords (KW) versions

of the workshop are provided. Complete only one.

L8.2

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Here are the steps to be followed:

Introduction to Random Response

1. Overview

2. Excitation and Output

3. Random Response Usage

4. Base Motion Example

5. Steady-State Dynamics Alternative

Approach

Page 13: Linear Dynamics with Abaqus - 3DS es Day 1 Lecture 1: Introduction to Abaqus Linear Dynamics Lecture 2: Extracting Real Eigenvalues Workshop 1: Eigenvalue Natural Frequency Extraction

L9.1

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The following topics are covered in this lesson.

Lesson content:

Complex Eigenvalue Analysis

Lesson 9: Complex Eigenvalue Analysis

75 minutes

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Here are the steps to be followed:

Complex Eigenvalue Analysis

1. Overview

2. Implementation

3. Brake Squeal Analysis

Page 14: Linear Dynamics with Abaqus - 3DS es Day 1 Lecture 1: Introduction to Abaqus Linear Dynamics Lecture 2: Extracting Real Eigenvalues Workshop 1: Eigenvalue Natural Frequency Extraction

A1.1

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The following topics are covered in this lesson.

Lesson content:

Introduction to Nonlinear Dynamics

Appendix 1: Introduction to Nonlinear Dynamics

45 minutes

A1.2

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Here are the steps to be followed:

Introduction to Nonlinear Dynamics

1. Introduction

2. Equations for Dynamic Problems

3. Time integration of the equations of

motion

4. Automatic time incrementation

5. Dynamic Contact

6. Comparing Abaqus/Standard and

Abaqus/Explicit

Page 15: Linear Dynamics with Abaqus - 3DS es Day 1 Lecture 1: Introduction to Abaqus Linear Dynamics Lecture 2: Extracting Real Eigenvalues Workshop 1: Eigenvalue Natural Frequency Extraction

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The following topics are covered in this lesson.

Lesson content:

Nonlinear Dynamics: Abaqus Usage

Appendix 2: Nonlinear Dynamics: Abaqus Usage

75 minutes

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Here are the steps to be followed:

Nonlinear Dynamics: Abaqus Usage

1. Implicit Dynamics

2. Explicit Dynamics

3. Algorithmic Details

4. Initial Conditions and Loads

5. Stability and Accuracy of the

Trapezoidal Rule

6. Material Damping

7. Half-Increment Residual Tolerance

Page 16: Linear Dynamics with Abaqus - 3DS es Day 1 Lecture 1: Introduction to Abaqus Linear Dynamics Lecture 2: Extracting Real Eigenvalues Workshop 1: Eigenvalue Natural Frequency Extraction

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The following topics are covered in this lesson.

Lesson content:

Nonlinear Dynamics Examples

Appendix 3: Nonlinear Dynamics Examples

2 hours

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Here are the steps to be followed:

Nonlinear Dynamics Examples

1. Damped shallow arch

2. Ball impact

3. Tennis racket and ball

4. Crimp forming

5. Blade containment

6. Inertia relief