Dynamics and Design of Space Nets for Orbital Capture by Leping Yang, Qingbin Zhang, Ming Zhen, Haitao Liu

Dynamics and Design of Space Nets for Orbital Capture by Leping Yang, Qingbin Zhang, Ming Zhen, Haitao Liu

By Leping Yang, Qingbin Zhang, Ming Zhen, Haitao Liu

This booklet covers the subjects of theoretical rules, dynamics version and set of rules, undertaking research, method layout and experimental reports of area nets process, aiming to supply an preliminary framework during this box and function a prepared reference for these . area nets procedure represents a leading edge box in destiny improvement of aerospace applied sciences. even if, it includes new demanding situations and difficulties equivalent to nonlinear and distorted nets constitution, complicated inflexible versatile coupling dynamics, orbital move of area versatile composite and dynamics regulate. at present, no finished books on area nets dynamics and layout can be found, so capability readers can get to understand the operating mechanism, dynamics parts, and venture layout of the gap nets process from a chinese language perspective.

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4 Reflection and Transmission of Stress Wave Between Cable Sections To research the stress wave propagating in a cable, the cable is normally regarded as a homogeneously continuous elastic or viscoelastic material with isotropy. If the research goals are multiple cable units with different parameters, then when the 26 2 Cable Dynamics Elements stress wave propagates to a section, because of the obvious differences in the materials at the section, only some of the energy crosses the section and propagates forward, while the rest is reflected at the section.

1) a ¼ 1 The generalized impedance of the connected cables matches each other, and ðq1 c1 A1 Þ ¼ ðq2 c2 A2 Þ ð2:41Þ According to Eqs. 40), the reflected wave satisfies the following equation, vR ¼ rR ¼ uR ¼ 0 ð2:42Þ The transmitted wave satisfies the following equations, 8 < vT ¼ vI ðr A Þ ¼ ðrI A1 Þ : T 2 uT ¼ uI ð2:43Þ As Eqs. 43) show, the stress wave will not be reflected at the conjunction for cables with completely different materials and structures with their generalized impedances matching each other.

For two cables, according to governing equation (Eq. 31) of the propagating stress wave, the corresponding characteristic line equation is as follows: dx ¼ Æci dt ð2:48Þ Substituting Eq. 48) into the governing equation, the compatible equation is as follows: dri Ç qi ci dvi ¼ 0 ð2:49Þ Integrating both sides, we obtain the following equation: ri Ç qi ci vi ¼ const ð2:50Þ The stress and velocity maintain a constant relationship along the characteristic line. Based on this, the stress, strain, and velocity in the time domain and spatial domain can be solved along the characteristic line with a given boundary condition and initial condition.

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