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Structural Dynamics Fundamentals

Fundamentals

Introduction to Structural Dynamics (01a)
Silvia Mazzoni

Introduction to Structural Dynamics (01a)

Dynamic Equilibrium (01b)
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Dynamic Equilibrium (01b)

Introductory Examples (01c)
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Introductory Examples (01c)

Frame-Element Stiffness Coefficients (01d)
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Frame-Element Stiffness Coefficients (01d)

Fundamentals Review (02)
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Fundamentals Review (02)

Fundamentals of Assembling the Stiffness Matrix
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Fundamentals of Assembling the Stiffness Matrix

Introduction to Fundamentals (02a)
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Introduction to Fundamentals (02a)

Equation of Motion (02b)
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Equation of Motion (02b)

Assembling the Damping Matrix (02c)
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Assembling the Damping Matrix (02c)

Free-Vibration Response of Undamped Systems

Free-Vibration Response of Undamped SDOF (03c)
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Free-Vibration Response of Undamped SDOF (03c)

Natural Frequencies (03d)
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Natural Frequencies (03d)

Review of Free-Vibration Undamped Response (03e)
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Review of Free-Vibration Undamped Response (03e)

Free-Vibration Response of Damped Systems

Free Vibration of Damped Systems
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Free Vibration of Damped Systems

Free Vibration of UnderDamped 04a
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Free Vibration of UnderDamped 04a

Free Vibration Critically Damped 04b
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Free Vibration Critically Damped 04b

Free Vibration OverDamped 04c
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Free Vibration OverDamped 04c

Free Vibration Damped Logarithmic Decay (04d)
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Free Vibration Damped Logarithmic Decay (04d)

Free Vibration Damped Summary (04e)
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Free Vibration Damped Summary (04e)

Free Vibration Damped Coulomb Damping (04f)
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Free Vibration Damped Coulomb Damping (04f)

Free Vibration of Damped Systems 04
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Free Vibration of Damped Systems 04

Review of Free-Vibration Response (04a)
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Review of Free-Vibration Response (04a)

Forced-Vibration Response: Harmonic Excitation

Structural Dynamics 7-9
Harmonic Excitation of Undamped Systems
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Harmonic Excitation of Undamped Systems

Forced Vibration Response: Harmonic-Excitation Applications (07a)
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Forced Vibration Response: Harmonic-Excitation Applications (07a)

Forced-Vibration Response: Energy Concepts (07b)
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Forced-Vibration Response: Energy Concepts (07b)

Forced-Vibration Response: Applications (07c)
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Forced-Vibration Response: Applications (07c)

Response To Periodic Function (08)
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Response To Periodic Function (08)

Forced-Vibration Response: Arbitrary Time-Varying Excitation (09)
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Forced-Vibration Response: Arbitrary Time-Varying Excitation (09)

Response to Arbitrary Time-Varying Excitation

Structural Dynamics 10-12
Arbitrary Time-Varying Excitation
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Arbitrary Time-Varying Excitation

Response to Pulse Excitation: Square Pulse
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Response to Pulse Excitation: Square Pulse

Response to Pulse Excitation
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Response to Pulse Excitation

Response to Pulse Excitation (10)
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Response to Pulse Excitation (10)

Response to Pulse Excitation, Part 2 (10b)
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Response to Pulse Excitation, Part 2 (10b)

Reading the Response-Amplification Factor and Phase Shift Plots
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Reading the Response-Amplification Factor and Phase Shift Plots

Review of Response to Arbitrary Time-Varying Excitation
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Review of Response to Arbitrary Time-Varying Excitation

Numerical Methods (11)
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Numerical Methods (11)

Numerical Time-Stepping Methods
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Numerical Time-Stepping Methods

Multi-DOF Systems

Structural Dynamics 13-15
Generalized SDOF System
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Generalized SDOF System

Generalized SDOF Systems
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Generalized SDOF Systems

Preview MDOF Systems
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Preview MDOF Systems

Multi-Degree-of-Freedom (MDOF) Systems
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Multi-Degree-of-Freedom (MDOF) Systems

Multiple-DOF systems and Formulations
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Multiple-DOF systems and Formulations

MDOF Systems
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MDOF Systems

MDOF Systems (Chapter 9 in Chopra)
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MDOF Systems (Chapter 9 in Chopra)

MDOF Systems: Static Condensation (13b)
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MDOF Systems: Static Condensation (13b)

Static Condensation
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Static Condensation

MDOF Systems: Free-Vibration Response

Structural Dynamics 16-18
Free Vibration of MDOF Systems (16aa)
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Free Vibration of MDOF Systems (16aa)

MDOF Systems: Free-Vibration Response of Undamped System (16a)
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MDOF Systems: Free-Vibration Response of Undamped System (16a)

MDOF System: Free-Vibration Response Example (16b)
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MDOF System: Free-Vibration Response Example (16b)

MDOF Systems: Free-Vibration Response of Damped System, Part 1 (16c)
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MDOF Systems: Free-Vibration Response of Damped System, Part 1 (16c)

MDOF System: Free Vibration Response of Damped System, Part 2 (16d)
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MDOF System: Free Vibration Response of Damped System, Part 2 (16d)

MDOF: Free-Vibration Response -- Damping Matrix (16e)
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MDOF: Free-Vibration Response -- Damping Matrix (16e)

MDOF Systems: Eigen Analysis

Structural Dynamics Eigenvalues
MDOF Systems: Eigenvalue Problem
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MDOF Systems: Eigenvalue Problem

MDOF Systems: Modes of Vibration, Eigenvalues and Eigenvectors (14)
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MDOF Systems: Modes of Vibration, Eigenvalues and Eigenvectors (14)

Intro to Eigen Analysis
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Intro to Eigen Analysis

Eigenvalue Problem (15)
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Eigenvalue Problem (15)

The Eigenvalue Problem
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The Eigenvalue Problem

MDOF Systems: Eigen Analysis
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MDOF Systems: Eigen Analysis

MDOF Systems: Forced-Vibration Response

Structural Dynamics 19plus
MDOF System: Forced-Vibration Response Example (17b)
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MDOF System: Forced-Vibration Response Example (17b)

MDOF Force-Vibration Response Visualization Demos (17d)
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MDOF Force-Vibration Response Visualization Demos (17d)

MDOF System: Dynamic Response of Linear Systems (17a)
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MDOF System: Dynamic Response of Linear Systems (17a)

MDOF System: Modal Expansion of Excitation (17c)
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MDOF System: Modal Expansion of Excitation (17c)

MDOF Systems: Modal Expansion of Excitation Vector (18b)
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MDOF Systems: Modal Expansion of Excitation Vector (18b)

MDOF Systems & EQ Ground Motions
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MDOF Systems & EQ Ground Motions

MDOF Systems: Response-Spectrum Analysis (18c)
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MDOF Systems: Response-Spectrum Analysis (18c)

MDOF Systems: Modal Analysis and Ground Excitation (18a)
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MDOF Systems: Modal Analysis and Ground Excitation (18a)

EQ Ground Motions: Design Spectra (19b)
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EQ Ground Motions: Design Spectra (19b)

Review

Structural Dynamics Review
Structural Dynamics Review Part 1
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Structural Dynamics Review Part 1

Structural Dynamics Review Part 2
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Structural Dynamics Review Part 2

© 2020 by Silvia Mazzoni, Silvia's Brainery, Santa Monica, CA

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