Appendix D: Rigid-Body Mass Properties

A new method for determining an analytical model of a rigid body on mounts is presented. The method uses experimental data from a modal test as input. The output is rigid body mass properties and the stiffnesses of the mounts. The theory behind the method is discussed in detail and a case history is documented.

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Parameter Estimation for Rigid-Body Mass Moments of Inertia

The International Journal of Acoustics and Vibration ◽

10.20855/ijav.1998.3.427 ◽

1998 ◽

Vol 3 (4) ◽

Author(s):

S. A. McInerny

Keyword(s):

Parameter Estimation ◽

Rigid Body ◽

Body Mass ◽

Moments Of Inertia

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Motion of a Rigid Body Supported at One Point by a Rotating Arm

Shock and Vibration ◽

10.1155/1993/565094 ◽

1993 ◽

Vol 1 (2) ◽

pp. 121-134

Author(s):

Jeffrey D. Stoen ◽

Thomas R. Kane

Keyword(s):

Energy Dissipation ◽

Rigid Body ◽

Exact Solutions ◽

Equations Of Motion ◽

Stability Diagrams ◽

Mass Properties ◽

State Of Rest ◽

The Stability ◽

Nonlinear Equations Of Motion ◽

System Geometry

This article details a scheme for evaluating the stability of motions of a system consisting of a rigid body connected at one point to a rotating arm. The nonlinear equations of motion for the system are formulated, and a method for finding exact solutions representing motions that resemble a state of rest is presented. The equations are then linearized and roots of the eigensystem are classified and used to construct stability diagrams that facilitate the assessment of effects of varying the body's mass properties and system geometry, changing the position of the attachment joint, and adding energy dissipation in the joint.

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VECTOR METHOD BASED ON MASS MOMENT VECTORS AND VECTOR ROTATORS APPLIED TO RIGID-BODY MULTI-COUPLED ROTATIONS AROUND NONINTERSECTING AXES

International Journal of Structural Stability and Dynamics ◽

10.1142/s0219455413400075 ◽

2013 ◽

Vol 13 (07) ◽

pp. 1340007

Author(s):

KATICA R. STEVANOVIĆ HEDRIH

Keyword(s):

Rigid Body ◽

Body Mass ◽

Rotation Axis ◽

Short Review ◽

Unit Vector ◽

Rigid Body Dynamics ◽

Complete Analysis ◽

Inertia Moment ◽

Vector Method ◽

Mass Moment

The first part of the paper contains a short review of a series of published papers in the area of system dynamics with coupled rotations as well as of a series of author's various published research results in the area of vector method based on the mass inertia moment vectors and corresponding deviational vector components and vector rotators for the pole and oriented axis, introduced and defined by K. Hedrih in 1991. The vector with principal importance is vector of the rigid body mass inertia moment at the point and for the axis oriented by the unit vector, and with a corresponding component vector of the rigid body mass deviational moment for the rotation axis through the same pole. Second part presents the vector method based on mass moment vectors and vector rotators coupled for pole and oriented nonintersecting axes in application for obtaining vector expressions for kinetic parameters of a rigid body dynamics with multi-coupled rotations around nonintersecting axes. A complete analysis of obtained vector expressions for linear momentum and angular momentum and their corresponding derivatives gives us a series of the kinematical vector rotators around the corresponding directions determined by axes of the rigid body coupled multi-rotations around nonintersecting axes. Series of the theorems are defined.

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