Standard syllabus
Mechanical vibrations · Undergraduate · Engineering
Learning objectives from the Mechanical vibrations syllabus, grouped by unit. Click an objective for study materials.
Learning objectives
Click an objective for study materials.
Single-degree-of-freedom systems
- Equation of motion: m ẍ + c ẋ + k x = f — Equation of motion: m ẍ + c ẋ + k x = f
- Free vibration: natural frequency and damping ratio — Free vibration: natural frequency and damping ratio
- Underdamped, critically damped, and overdamped response — Underdamped, critically damped, and overdamped response
- Logarithmic decrement for damping estimation — Logarithmic decrement for damping estimation
- Harmonic forcing and steady-state amplitude — Harmonic forcing and steady-state amplitude
Multi-degree-of-freedom systems
- Two-DOF systems: natural modes and frequencies — Two-DOF systems: natural modes and frequencies
- Orthogonality of mode shapes for proportional damping — Orthogonality of mode shapes for proportional damping
- Modal analysis and modal superposition — Modal analysis and modal superposition
- Continuous systems: vibrating strings and beams — Continuous systems: vibrating strings and beams
- Boundary conditions and characteristic equations — Boundary conditions and characteristic equations
What each unit includes
Open a unit below for full materials. Typical resources:
- Study guide
- Exam Strategy
- Common Mistakes
- Worksheets
- Word problems
- Mixed Practice
- Multi-Unit Problems
- Review
- Practice test
- Answer key
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Single-degree-of-freedom systems
Equation of motion: m ẍ + c ẋ + k x = f
Coming soon - Multi-degree-of-freedom systems
Two-DOF systems: natural modes and frequencies
Coming soon
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$1,162 · Mechanical vibrations · 18 tutoring hrs
Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle.