Eigenvalue and Eigenvector Problems in Applied Mechanics by Sorin Vlase & Marin Marin & Andreas Öchsner

Author:Sorin Vlase & Marin Marin & Andreas Öchsner
Language: eng
Format: epub
ISBN: 9783030009915
Publisher: Springer International Publishing

(4.85)

where represents the distance from the point mi to the line. If the axes of the coordinate system are considered, we have the moments of inertia with respect to these axes defined in the following way:

(4.86)

where the quantities δix, δiy, δiz represent the distances from the points to the corresponding axes of the coordinate system.

Product of inertia:

(4.87)

Planar moment of inertia:

(4.88)

where is the distance from the mass point mi to the plane π. If a Cartesian coordinate system is considered, we have:

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