Free Download Fundamentals Of Dynamics And Oscillations
Published 1/2026
MP4 | Video: h264, 1920x1080 | Audio: AAC, 44.1 KHz
Language: English | Size: 2.69 GB | Duration: 4h 6m
Build a solid foundation in mechanical vibrations through step-by-step modeling, analysis, and guided problem solving
What you'll learn
Model linear mechanical rigid-body 1-DOF systems using the impulse and angular-momentum theorem
Derive equations of motion systematically from physical principles
Analyze undamped and damped oscillations and interpret their physical meaning
Determine eigenvalues and derive homogeneous solutions of linear differential equations
Solve harmonic and periodic excitations in the frequency domain using Laplace transforms and transfer functions
Analyze arbitrary excitations using impulse response functions and the convolution integral
Develop confidence in interpreting vibration behavior of mechanical systems
Apply dynamics concepts reliably instead of relying on memorized formulas or procedural guessing
Requirements
Basic calculus & Complex numbers & Trigonometry
Linear ordinary differential equations basics
You should have heard of the Laplace Transformation and Fourier Series
Fundamental mechanical concepts: mass, inertia, simple mechanical elements
No programming or software knowledge is required
More important than prior knowledge is your willingness to think quantitatively and to engage deeply with the material
All concepts are developed step by step and any required theory is introduced exactly where it is needed-no prior specialization in vibrations or dynamics is assumed
Description
This course is designed for engineering students, early-career engineers, and practitioners who want to understand dynamics and oscillations properly-not just apply formulas mechanically or rely on memorized proceduresWith a high-information density, you will learn how linear mechanical 1-degree-of-freedom systems are modeled from first principles, how their equations of motion are derived systematically, and how their dynamic behavior can be analyzed and interpreted with confidence.Instead of overwhelming you with abstract theory, each concept is introduced only as deep as necessary, then applied directly to engineering-relevant examples. Every topic follows a logical sequence, building step by step from undamped systems to damped motion, harmonic and periodic excitation, and finally arbitrary excitations using the convolution integral.A strong emphasis is placed on guided exercises. You will not just watch derivations-you will actively work through problems, develop intuition for vibrations, and learn how to interpret system behavior in a way that transfers directly to real engineering tasks.By the end of this course, you will no longer rely on inserting memorized formulas or performing trial-and-error calculations. You will be able to analyze and solve vibration problems in mechanical engineering with confidence and structure.This course is taught by David, a computational mechanics engineer and founder of SimX Academy, focusing on clear, application-oriented engineering education with real industrial context.
Mechanical engineering students and related fields (e.g. mechatronics, industrial engineering),Engineering students struggling with dynamics and vibrations,Early-career engineers who want a deeper, more reliable understanding of oscillations,Engineers who want to strengthen their theoretical foundation to work more confidently in practice
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