Linear Vibrations Home Page

Mechanical Vibrations

• The Study of Vibrations
  • The Study of Vibrations
  • Classification of Vibration
  • Vibration Analysis Procedure
  • Generalized Coordinates
  • Classification of Vibrations
  • Springs
  • Viscous Dampers
  • Undamped Free Vibrational System
  • Energy Method
  • Undamped Forced Vibration
  • Electric Circuit Analogs
• Free vibration of single-degree-of-freedom-systems
  • Introduction
  • Free-Body-Diagram
  • Free vibration of an Undamped Translational System
  • Free vibrations of one-degree-of-freedom systems with viscous damping
  • Coulomb damping
  • Sub Item
• Harmonically Excited Vibration
  • Harmonic excitation of One-Degree-of-Freedom Systems
  • Response of an Un-damped System under Harmonic Force
  • Response of a Damped System Under Harmonic Force
  • Sub Item
• Vibration Under General Forcing Conditions
  • Introduction - UnderConstruction
• Two-Degree-of-Freedom Systems
  • Introduction - UnderConstruction
• Multidegree-of-Freedom Systems
  • Introduction - UnderConstruction
• Determination of Natural Frequencies and Mode Shapes
  • Introduction - UnderConstruction
• Continuous Systems
  • Introduction - UnderConstruction
• Vibration Control
  • Introduction - UnderConstruction
• Vibration Measurement and Applications
  • Introduction - UnderConstruction
• Numerical Integration Methods in Vibrations Analysis
  • Introduction to Numerical Integration Methods
  • Finite Difference Method
  • Central difference method for SDOF systems
  • Runge-Kutta Method for SDOF Systems
• Finite Element Method
  • Introduction - UnderConstruction
• Nonlinear Vibrations
  • Introduction - UnderConstruction

Python

• Beginner tutorials
  • Introduction to Python
    • Computer Hardware Architecture an Introduction
    • Difference between Interpreter and Compiler
    • Python Installation and Distributions
    • What is a program?
    • Introduction to Programming Exceptions
    • Differences Between Python 2.x and Python 3.x
    • Words to Remember I
  • Variables
    • Variables
    • Variable names and keywords
    • Statements
    • Operations and Operands
    • Expressions
    • Order of Operations
    • Modulus Operator
    • String Operations
    • Asking the User For Input
    • Comments and Mnemonic Variable names
    • Words to Remember II
    • Exercises II
  • Conditional Execution
    • Boolean Expressions
    • Logical Operators
    • Conditional Executions
    • Alternative Execution
    • Chained Conditionals
    • Nested Conditionals
    • Catching Exceptions Using Try and Except
    • Words to Remember III
    • Exercises III
  • Functions
    • Introduction to Functions
    • Built-in Functions
    • Type Conversion Functions
    • Random Numbers
    • Math Functions
    • Adding New Functions
    • Flow of Execution
    • Parameters and Arguments
    • Words to Remember IV
    • Exercises IV
  • Iteration
    • Updating Variables
    • The While Statement
    • Infinte or Endless Loop
    • Infinite Loops and Break
    • Finishing Iterations with Continue
    • For Loops
    • Loop Patterns
    • Words to Remember V
    • Exercises V
  • Strings
    • Strings
    • Getting the length of a string using LEN()
    • Traversal throught a string with a loop
    • String slices
    • Strings are immutable
    • Using loops to count specific characters in a string
    • The in operator
    • String Comparison
    • String methods
    • Parsing Strings
    • Format Operator
    • Words to Remember VI
    • Exercises VI
  • File Operations in Python
    • Introduction to File Operations
    • Text And Lines
    • Reading Files
    • Searching through a file
    • Implementing User Input to Choose the File Name
    • Use Try, Except, and Open
    • Writing Files
    • Words to Remember VII
    • Exercises VII
  • Lists
    • List is a sequence
    • List are Mutable
    • Traversing a List
    • List Operations
    • List Slices
    • List Methods
    • Deleting List Elements
    • List and Functions
    • List and Strings
    • Parsing Lines
    • Objects and Values
    • Alising
    • List Arguments
    • Words To Remember VIII
    • Exercises VIII
  • Dictionaries
    • Introduction to Dictionaries
    • Built-in Functions for Dictionaries
    • Dictionaries as a set of Counters
    • Dictionaries and Files
    • Looping and Dictionaries
  • Tuples
    • Introduction to Tuples
    • Comparing Tuples
    • Tuple assignment
    • Dictionaries and Tuples
    • Multiple Assignment with Dictionaries
• Intermediate Tutorials
  • Object Oriented Programming
  • Numpy Tutorial
    • Creating Vectors using Numpy
    • Creating Matrices using Numpy
    • Convert from array to list or tuple
    • Standard linear algebra operations
  • SymPy Tutorial
    • Introduction to SymPy
    • Symbol Function
    • Numeric Types
    • Differentiation and Integration
    • Ordinary Differential Equations
    • Series Expansion and Plotting
    • Linear Equations and Matrix Inverse
  • Matplotlib
    • How to crate simple plot using matplotlib?
    • How to create labels on x and y axis of matplotlib diagram?
    • How to limit range of x and y axis in matplotlib diagram?
    • How to create grid in 2D plot ?
• Advanced Python