Abstract Non-reciprocal interactions play a crucial role in many social and biological complex systems. While directionality has been thoroughly accounted for in networks with pairwise interactions, its effects in systems with higher-order interactions have not yet been explored as deserved. Here, we introduce the concept of M -directed hypergraphs, a general class of directed higher-order structures, which allows to investigate dynamical systems coupled through directed group interactions. As an application we study the synchronization of nonlinear oscillators on 1-directed hypergraphs, finding that directed higher-order interactions can destroy synchronization, but also stabilize otherwise unstable synchronized states. 

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Synchronization induced by directed higher-order interactions

Static and dynamic analysis of key structural components of the machine tool is the crucial stage in transferring the physical to the virtual domain for digital manufacturing trends. The modeling technique of rolling kinematic joints with high nonlinearity can directly influence the accuracy and efficiency of prediction. Existing literature replicates the nonlinear static and dynamic characteristics considering the rolling element contact interface and proposes the theoretical modeling approach for the feed drives. However, there is a lack of systematic literature surveys. This paper reviews the current progress placed at the nonlinear analytical model of rolling kinematic joints, including ball screw feed drives, recirculating linear guideways, and ball screws. Advanced investigations on nonlinear dynamic stiffness and vibration response associated with ball screw feed drives are covered. Specifically, for linear guideways and ball screws, the stiffness and load distribution models can be divided into two categories: with and without consideration of the component structural deformations. Moreover, the corresponding detailed modeling process is introduced. The time-dependent modeling principle highlighting the recirculation motion of rolling elements is summarized, and friction and wear behavior is briefly discussed. The paper ends with the current research advancement and scarcity and recommends promising modeling tendencies. Particularly, the modeling tendencies require integrated model research on ball screw feed drives considering the more detailed nonlinear joint. Moreover, a fusion of multi-physics parameters is expected to achieve the high-fidelity mechanical model of key structural components for intelligent manufacturing demand. 

A review of static and dynamic analysis of ball screw feed drives, recirculating linear guideway, and ball screw

Nonlinear dynamic modeling and vibration analysis of whole machine tool

Kinematic reliability evaluation of high-precision planar mechanisms experiencing non-uniform wear in revolute joints

Dynamic characteristics and reliability analysis of parallel mechanism with clearance joints and parameter uncertainties

Dynamic reliability analysis of mechanical system with wear and vibration failure modes

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Dynamic reliability analysis of mechanical system with wear and vibration failure modes