Composite materials in flexible multibody systems

Neto, Maria Augusta; Ambrósio, Jorge; Leal, Rogério

doi:10.1016/j.cma.2005.08.009

Cited by 34 publications

(21 citation statements)

References 27 publications

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“…By taking the coordinate values of each middle point in the yoz plane into (10), we can obtain the axial strain expressions of vertical bars (1-4), cables (5-12), cranks (13)(14)(15)(16)(17)(18)(19)(20), rails (21)(22)(23)(24), and central connecting rods (25)(26)(27)(28) as follows:…”

Section: Strain Energymentioning

confidence: 99%

“…The kinetic energy of cross bars, vertical rods, cables, hinges, sliding blocks, and crank connecting rods ∑K b , ∑K l , ∑K d , ∑K m1 , ∑K m2 , and ∑K m can be obtained by using (20), (21), and (22).…”

Section: Strain Energymentioning

confidence: 99%

“…Li [20] established a multi-rigid-body dynamic model of a hoop truss antenna. Neto et al [21] studied the dynamic coupling characteristics of flexible satellites based on the theory of flexible multibody. Zhang et al [22] constructed a flexible multibody dynamic model of a flexible deployable antenna.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Design and Dynamic Equivalent Modeling of Double-Layer Hoop Deployable Antenna

Guo

Shi

Lian

et al. 2018

International Journal of Aerospace Engineering

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This study proposes deployable units driven by elastic hinges and a double-layer hoop deployable antenna composed of these units. A rational modeling method based on the energy equivalence principle is presented to develop an equivalent model of the doublelayer hoop antenna in accordance with the structural characteristics of the antenna. The equivalent beam models of the rods with elastic hinges are proposed. The relationship of geometrical and material parameters is established considering the strain energy and the kinetic energy of the periodic unit, which are the same as those of the equivalent beam in the same displacement field. The equivalent model of the antenna is obtained by assembling several equivalent beam models in the circumferential direction. The precision of the equivalent model of the antenna is acceptable as found by comparing the modal analysis results obtained through equivalent model calculation, finite element simulation, and modal test.

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Section: Strain Energymentioning

confidence: 99%

Section: Strain Energymentioning

confidence: 99%

See 1 more Smart Citation

Design and Dynamic Equivalent Modeling of Double-Layer Hoop Deployable Antenna

Guo

Shi

Lian

et al. 2018

International Journal of Aerospace Engineering

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“…In this work, the description of composite beam elements follows the work proposed by Cesnik and Hodges [27] while the plate element is described in the work by Augusta Neto et al [28]. The use of these finite elements in the framework of flexible multibody systems is described in different references and is not repeated here [30,31].…”

Section: Introductionmentioning

confidence: 99%

Optimization of a complex flexible multibody systems with composite materials

2007

Self Cite

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The paper presents a general optimization methodology for flexible multibody systems which is demonstrated to find optimal layouts of fiber composite structures components. The goal of the optimization process is to minimize the structural deformation and, simultaneously, to fulfill a set of multidisciplinary constraints, by finding the optimal values for the fiber orientation of composite structures. In this work, a general formulation for the computation of the first order analytical sensitivities based on the use of automatic differentiation tools is applied. A critical overview on the use of the sensitivities obtained by automatic differentiation against analytical sensitivities derived and implemented by hand is made with the purpose of identifying shortcomings and proposing solutions. The equations of motion and sensitivities of the flexible multibody system are solved simultaneously being the accelerations and velocities of the system and the sensitivities of the accelerations and of the velocities integrated in time using a multi-step multi-order integration algorithm. Then, the optimal design of the flexible multibody system is formulated to minimize the deformation energy of the system subjected to a set of technological and functional constraints. The methodologies proposed are first discussed for a simple demonstrative example and applied after to the optimization of a complex flexible multibody system, represented by a satellite antenna that is unfolded from its launching configuration to its functional state.

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“…In fact, when a structure is excited its behavior is largely controlled by a set of preferable vibration modes, which are dependent on the spectral content of the excitation [21]. Moreover, assuming that the lower order modes have higher contribution to the global response of a system, often in structural dynamic analysis the structural components are described by a sum of selected modes of vibration [22]. Thus, the displacement field of a structural component can be spanned by a selected number of vibration modes, meaning that the structural global behavior of component is accounted with a smaller number of degrees of freedom [23].…”

Section: Introductionmentioning

confidence: 99%