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Structural Dynamics Fundamentals

Fundamentals

Introduction to Structural Dynamics (01a)
Silvia Mazzoni

Introduction to Structural Dynamics (01a)

Dynamic Equilibrium (01b)
Silvia Mazzoni

Dynamic Equilibrium (01b)

Introductory Examples (01c)
Silvia Mazzoni

Introductory Examples (01c)

Frame-Element Stiffness Coefficients (01d)
Silvia Mazzoni

Frame-Element Stiffness Coefficients (01d)

Fundamentals Review (02)
Silvia Mazzoni

Fundamentals Review (02)

Fundamentals of Assembling the Stiffness Matrix
Silvia Mazzoni

Fundamentals of Assembling the Stiffness Matrix

Introduction to Fundamentals (02a)
Silvia Mazzoni

Introduction to Fundamentals (02a)

Equation of Motion (02b)
Silvia Mazzoni

Equation of Motion (02b)

Assembling the Damping Matrix (02c)
Silvia Mazzoni

Assembling the Damping Matrix (02c)

Free-Vibration Response of Undamped Systems

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

Free-Vibration Response of Undamped SDOF (03c)

Natural Frequencies (03d)
Silvia Mazzoni

Natural Frequencies (03d)

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

Review of Free-Vibration Undamped Response (03e)

Free-Vibration Response of Damped Systems

Free Vibration of Damped Systems
Silvia Mazzoni

Free Vibration of Damped Systems

Free Vibration of UnderDamped 04a
Silvia Mazzoni

Free Vibration of UnderDamped 04a

Free Vibration Critically Damped 04b
Silvia Mazzoni

Free Vibration Critically Damped 04b

Free Vibration OverDamped 04c
Silvia Mazzoni

Free Vibration OverDamped 04c

Free Vibration Damped Logarithmic Decay (04d)
Silvia Mazzoni

Free Vibration Damped Logarithmic Decay (04d)

Free Vibration Damped Summary (04e)
Silvia Mazzoni

Free Vibration Damped Summary (04e)

Free Vibration Damped Coulomb Damping (04f)
Silvia Mazzoni

Free Vibration Damped Coulomb Damping (04f)

Free Vibration of Damped Systems 04
Silvia Mazzoni

Free Vibration of Damped Systems 04

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

Review of Free-Vibration Response (04a)

Forced-Vibration Response: Harmonic Excitation

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

Harmonic Excitation of Undamped Systems

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

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

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

Forced-Vibration Response: Energy Concepts (07b)

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

Forced-Vibration Response: Applications (07c)

Response To Periodic Function (08)
Silvia Mazzoni

Response To Periodic Function (08)

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

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

Response to Arbitrary Time-Varying Excitation

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

Arbitrary Time-Varying Excitation

Response to Pulse Excitation: Square Pulse
Silvia Mazzoni

Response to Pulse Excitation: Square Pulse

Response to Pulse Excitation
Silvia Mazzoni

Response to Pulse Excitation

Response to Pulse Excitation (10)
Silvia Mazzoni

Response to Pulse Excitation (10)

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

Response to Pulse Excitation, Part 2 (10b)

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

Reading the Response-Amplification Factor and Phase Shift Plots

Review of Response to Arbitrary Time-Varying Excitation
Silvia Mazzoni

Review of Response to Arbitrary Time-Varying Excitation

Numerical Methods (11)
Silvia Mazzoni

Numerical Methods (11)

Numerical Time-Stepping Methods
Silvia Mazzoni

Numerical Time-Stepping Methods

Multi-DOF Systems

Structural Dynamics 13-15
Generalized SDOF System
Silvia Mazzoni

Generalized SDOF System

Generalized SDOF Systems
Silvia Mazzoni

Generalized SDOF Systems

Preview MDOF Systems
Silvia Mazzoni

Preview MDOF Systems

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

Multi-Degree-of-Freedom (MDOF) Systems

Multiple-DOF systems and Formulations
Silvia Mazzoni

Multiple-DOF systems and Formulations

MDOF Systems
Silvia Mazzoni

MDOF Systems

MDOF Systems (Chapter 9 in Chopra)
Silvia Mazzoni

MDOF Systems (Chapter 9 in Chopra)

MDOF Systems: Static Condensation (13b)
Silvia Mazzoni

MDOF Systems: Static Condensation (13b)

Static Condensation
Silvia Mazzoni

Static Condensation

MDOF Systems: Free-Vibration Response

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

Free Vibration of MDOF Systems (16aa)

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

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

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

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

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

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

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

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

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

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

MDOF Systems: Eigen Analysis

Structural Dynamics Eigenvalues
MDOF Systems: Eigenvalue Problem
Silvia Mazzoni

MDOF Systems: Eigenvalue Problem

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

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

Intro to Eigen Analysis
Silvia Mazzoni

Intro to Eigen Analysis

Eigenvalue Problem (15)
Silvia Mazzoni

Eigenvalue Problem (15)

The Eigenvalue Problem
Silvia Mazzoni

The Eigenvalue Problem

MDOF Systems: Eigen Analysis
Silvia Mazzoni

MDOF Systems: Eigen Analysis

MDOF Systems: Forced-Vibration Response

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

MDOF System: Forced-Vibration Response Example (17b)

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

MDOF Force-Vibration Response Visualization Demos (17d)

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

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

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

MDOF System: Modal Expansion of Excitation (17c)

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

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

MDOF Systems & EQ Ground Motions
Silvia Mazzoni

MDOF Systems & EQ Ground Motions

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

MDOF Systems: Response-Spectrum Analysis (18c)

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

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

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

EQ Ground Motions: Design Spectra (19b)

Review

Structural Dynamics Review
Structural Dynamics Review Part 1
Silvia Mazzoni

Structural Dynamics Review Part 1

Structural Dynamics Review Part 2
Silvia Mazzoni

Structural Dynamics Review Part 2

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