Vibration Problem

Solution of a system of second-order homogeneous ordinary differential equations with constant Coefficients of the form

1. Solve the Characteristic Equation of B to get Eigenvalues , ...,. Define .

2. Compute the corresponding Eigenvectors , ..., .

3. The normal modes of oscillation are given by , ..., , where , ..., and , ..., are arbitraryconstants.

4. The general solution is .

• Keratoid Cusp
• Kernel (Integral)
• Kernel (Linear Algebra)
• Kernel Polynomial
• Kervaire's Characterization Theorem
• Ket
• k-Form
• K-Function
• K-Graph
• Khinchin Constant
• Khintchine-Lévy Constant
• Khintchine's Constant
• Khovanski's Theorem
• Kiepert's Conics
• Kiepert's Hyperbola
• Kiepert's Parabola
• Kieroid
• Killing's Equation
• Killing Vectors
• Kimberling Sequence
• Kimberling Shuffle
• Kings Problem
• King Walk
• Kinney's Set
• Kinoshita-Terasaka Knot