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Modeling and Vibration Suppression for Telescopic Systems of Structural Members with Clearance

2014/01/21 by Donald M. Arnold, Arnold, Dieter, Martin Mittwollen +7
Engineering · #Dynamics and Control of Mechanical Systems #Ingenieurwissenschaften (DDC 620) #Intralogistics #Intralogistik #Logistics #Logistik #Material flow #Materialfluss #Structural Analysis of Composite Materials #Vibration and Dynamic Analysis #intra logistics #technische Logistik

paper · doi:10.2195/lj_ref_arnold_e_0320061

openalex publication_date 2024/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/22

Abstract

Telescopic systems of structural members with clearance are found in many applications, e.g., mobile cranes, rack feeders, fork lifters, stacker cranes (see Figure 1). Operating these machines, undesirable vibrations may reduce the performance and increase safety problems. Therefore, this contribution has the aim to reduce these harmful vibrations. For a better understanding, the dynamic behaviour of these constructions is analysed. The main interest is the overlapping area of each two sections of the above described systems (see markings in Figure 1) which is investigated by measurements and by computations. A test rig is constructed to determine the dynamic behaviour by measuring fundamental vibrations and higher frequent oscillations, damping coefficients, special appearances and more. For an appropriate physical model, the governing boundary value problem is derived by applying Hamilton’s principle and a classical discretisation procedure is used to generate a coupled system of nonlinear ordinary differential equations as the corresponding truncated mathematical model. On the basis of this model, a controller concept for preventing harmful vibrations is developed.

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