论文标题
无限紧张和框架的平衡应力和刚性
Equilibrium stresses and rigidity for infinite tensegrities and frameworks
论文作者
论文摘要
为了获得一阶刚性的Roth Whiteley表征，定义了渐近平衡应力的定义，并概括了Roth Whiteley的概括。对于无限的无限杆接头框架，给出了预应力稳定性和二阶刚性的概括，并显示出相对于某些规定的运动提供了足够的连续刚性条件。这些证明是基于有限框架的新简短证明，该框架确保了稳定性的稳定性。
Asymptotic equilibrium stresses are defined for countably infinite tensegrities and generalisations of the Roth-Whiteley characterisation of first-order rigidity are obtained. Generalisations of prestress stability and second order rigidity are given for countably infinite bar-joint frameworks and are shown to give sufficient conditions for continuous rigidity relative to certain prescribed motions. The proofs are based on a new short proof for finite frameworks that prestress stability ensures continuous rigidity.
