Abstract
The swing behaviour of tower cranes under compound working conditions is closely related to construction safety and structural health. This paper presents dynamic models and simulated them for parameter analysis to understand tower cranes’ dynamic characteristics and vibration features under compound working conditions. The parameters contain payload mass, rope length, lifting acceleration, slewing acceleration, luffing acceleration, and initial angle. For the lifting-luffing coupling motion (LLCM) and lifting-slewing coupling motion (LSCM) of the tower crane, the D’Alembert principle provides a theoretical basis for the derivation of system dynamics equations. The spatial swing angle description of the crane payload includes the time-domain response and frequency-domain response, which uses a dynamic model. The result shows that the mass has little effect on the spatial swing angle. The value of the lifting acceleration is stable at 0.004 m/s2 to 0.01 m/s2. Peak value (PV), root mean square value (RMS), root mean square frequency (RMSF), and frequency standard deviation (RVF) present the best sensitivity to changes in the spatial swing angle response. When PV of angles θ and β increases by tens of thousands of times in the LLCM, PV can reflect the phenomenon of angle divergence. The skewness value (SV) increases by 3422% at the severe swing angle performance in the LSCM. The swing angle regularity with the compound working conditions can provide theoretical guidance for eliminating structural vibration.
Highlights
Tower cranes are essential equipment for large and heavy objects transportation in many industries
Many studies consider the only slewing, only lifting, or only luffing motion that produces the spatial motion of the pendulum. e study obtained the dynamic performance of the mechanical moment under the acceleration and the deceleration of the slewing movement [1]
Yao et al studied the dynamic process of a dual-trolley overhead crane transshipping rigidbody cargo with degrees of spatial freedom [2]. e flexible model of crane luffing motion is established, indicating that the crane’s dynamic responses are more sensitive to the luffing acceleration than the luffing velocity [3]. e study found that the horizontal inertial forces in the radial direction are of no less importance than the forces in the
Summary
Tower cranes are essential equipment for large and heavy objects transportation in many industries. E research of tower cranes mainly focuses on the mechanical properties of the structural components, the response of the swing angle, and the performance control under some working conditions. Feng et al investigated the influence of dynamic parameters such as the velocity and acceleration of the trolley motion, payload mass, cable length on jib vibration, and payload swing during the luffing motion [6]. Fatehi et al developed a dynamic model that includes both the flexible cable’s transverse vibrations and large swing angles while the trolley moves horizontally [17]. Another study developed a mathematical model of crawler cranes for heavy tasks It activated the payload-lifting and boom-hoisting motions simultaneously [24]. A new model-free robust control scheme for payload swing angle attenuation of two-dimensional crane systems with varying rope length is introduced in this work [30]. The following sections illustrate angular response and discuss the simulation results. e final section proposes the main conclusion
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