Applied Engineering Dynamics and Vibration Analysis

Understanding how mechanical systems move and react to forces is crucial for any engineer designing machines, vehicles, or structures. By the end of this course, you will be able to formulate and solve the equations of motion for complex mechanical systems, analyze their stability, and predict their response to external forces, including essential vibration analysis. What you'll learn: * Understand the core concepts of kinematics, kinetics, and rigid body motion in planar systems. * Apply work-energy principles and the method of virtual work to simplify the analysis of mechanical linkages and assemblies. * Formulate equations of motion for multi-degree of freedom systems using Lagrange's equations. * Analyze free and forced vibration responses for linear systems, including dampening and resonance phenomena. * Practice linearizing complex nonlinear systems to simplify analysis and determine system stability. * Learn foundational computational techniques for solving dynamic equations numerically when analytical solutions are impractical. The course begins with foundational definitions and principles of particle dynamics before advancing to rigid body dynamics, energy methods, and culminating in advanced topics like Lagrange's equations and multi-degree of freedom vibration analysis. This course is designed for beginners in engineering or physics with no prior experience in dynamics, but a basic understanding of calculus is helpful. Start building your expertise in mechanical modeling today.