Abstract
Motivated by deployable satellite technology, this article presents a homogenization model of an inflatable, rigidized lattice structure with distributed macro-fiber composite (MFC) actuation. The model is based upon a general expression for the strain and kinetic energy of a fundamental repeated element of the structure. These expressions are reduced in order and expressed in terms of the strain and displacement components of an equivalent one-dimensional vibration model. The resulting model is used to analyze changes in the structural natural frequencies introduced by the local effects of the added macro-fiber composite actuators for several configurations. A finite element solution is used as a comparison for the homogenization model, and the two are shown to be in good agreement, although the latter requires significantly less computational effort.
Highlights
We consider the vibration analysis of an inflatable satellite, which deploys and rigidizes in the form of a large truss structure
Analysis of such structures can be significantly simplified, relative to the computational efforts required of finite discretization methods, by a process generally referred to as continuum modeling, whereby an equivalent beam or plate model is derived from careful assumptions relating the overall geometry and local strain properties of the equivalent continuum model and the truss structure
The macro-fiber composite (MFC) actuator, a new generation of the piezoelectric actuators, is generally considered ideal for this purpose owing to its capacity for large force and displacement, and especially the ability to conform to curved structures
Summary
We consider the vibration analysis of an inflatable satellite, which deploys and rigidizes in the form of a large truss structure. Analysis of such structures can be significantly simplified, relative to the computational efforts required of finite discretization methods, by a process generally referred to as continuum modeling, whereby an equivalent beam or plate model is derived from careful assumptions relating the overall geometry and local strain properties of the equivalent continuum model and the truss structure. This simplified modeling technique is attractive for control applications. The resulting model is used to analyze the vibration response of the composite satellite structure and to quantify the dynamic effects of the MFC actuators
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