ME'scopeVES Application Note #04 - Using Structural Dynamics Modification for Sub-Structuring

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App Note #4

www.vibetech.com

25-Feb-14

ME’scope Application Note #4 Using Structural Dynamics Modification for Sub-Structuring INTRODUCTION NOTE: The steps in this Application Note can be duplicated using any Package that includes the VES-5000 SDM option. In this application note, two substructures will be joined together using the SDM (Structural Dynamics Modification) option in ME’scope. A simple two degree-offreedom (2-DOF) substructure will be mounted on a flat plate substructure to model the response of the combined substructures. WHAT IS SUBSTRUCTURING? In brief, sub-structuring is the process of modeling the attachment of two or more structures together using FEA elements. Each of the structures is termed a substructure and it is dynamically described by a set of its modes, called a modal model. The objective is to calculate the new modes of the combined structure, starting with only the modes of each substructure and the attachment FEA elements. The modes of the substructures may be either EMA modes (obtained experimentally), or FEA modes (obtained from an FEA model).

Figure 1. Plate-on-Springs SubStructure. This constrained structure is represented dynamically by a set of 12 mode shapes. Each mode shape has 63 DOFs, describing Z-axis (vertical) motion at 63 Points in a 7 by 9 grid of Points. The 2-DOF substructure shown in Figure 2 consists of two point masses connected together with a single spring. The modal model for this 2-DOF spring-mass substructure will be obtained by solving for the modes of its FEA model.

Each substructure modal model needs to be a complete description of the substructure’s dynamics, including its boundary conditions. If a substructure is modeled in the free-free condition, its modal model must include its rigidbody modes. If a substructure is attached to ground, no rigid-body modes are required. NOTE: If one substructure is to be mounted onto another and is not attached to ground, the rigid-body modes of the mounted structure must be included in its modal model. To perform sub-structuring, the following is needed: 1. Properly scaled mode shapes (i.e. a modal model) of each substructure. 2. Properly scaled 3D model of each substructure, with FEA elements added between the substructures where they are to be connected together. THE SUBSTRUCTURES The plate-on-springs substructure is an (8 x 10 x ¼ inch) aluminum plate supported vertically by four springs of 100 lb/in stiffness and restrained in-plane by four more springs as shown in Figure 1.

Figure 2. 2-DOF SubStructure. A lower spring shown in Figure 2 will be used during substructuring to “mount” the 2-DOF substructure on the Plateon-Springs substructure.

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