弹性杆-圆柱体缠绕系统的平衡

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随着螺旋钻采煤机的大量使用,其安全问题受到广泛关注。而弹性杆-圆柱体缠绕系统作为煤钻杆等工程构件的力学模型,其平衡安全问题已成为煤炭开采领域的研究热点。基于Kirchhoff理论讨论弹性杆-圆柱体缠绕系统在忽略重力时的平衡问题。以描述截面姿态的欧拉角为变量,建立数学模型及平衡方程,导出弹性杆-圆柱体缠绕系统在忽略重力时的平衡存在条件。 With the extensive use of auger shearer, its safety issues have drawn wide attention. The elastic rod-cylinder winding system as a mechanical model of coal-boring rod and other engineering components, the balance of safety has become a hot topic in the field of coal mining. Based on Kirchhoff theory, the balance problem of elastic rod - cylinder winding system ignoring gravity is discussed. Taking the Euler angles describing the cross-sectional attitude as the variables, the mathematical model and the equilibrium equation are established, and the existence conditions of equilibrium for elastic rod-cylinder winding system are deduced.
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