OurBigBook.comSite Source code

Mass-matrix orthogonality of normal modes

For symmetric stiffness matrix

K

and positive-definite mass matrix

M

, eigenvectors

a_{i}, a_{j}

of

K a = ω^{2} M a

with distinct squared frequencies satisfy

a_{i}^{T} M a_{j} = 0.

Thus normal modes are orthogonal in the kinetic-energy inner product.

 Ancestors (7)

 Incoming links (1)

Solution