# Research on Non-Random Vibration Analysis of Concrete Pump Truck Boom Based on Dynamic Excitation
## 1 Introduction
Source [11] examines the dynamic characteristics of extremely flexible pump truck boom structures and provides a methodology utilizing uncertainty measures and reliability assessments to evaluate their performance and stability across various operating situations. Source [12] introduced a binary subinterval method to address vibration issues with multiple uncertain parameters in mechanical systems, thereby diminishing reliance on extensive sample data and enhancing the precision of vibration response predictions through the incorporation of a deterministic excitation model. Source [13] established a multi-body dynamics model that integrates gap effects to simulate nonlinear behavior in joints, employing combined interval analysis and probability distributions to characterize parameter uncertainties and enhance the accuracy and reliability of dynamic analysis. The analysis of the dynamic response boundaries of time-varying uncertain vibration systems has advanced significantly in previous research, but these developments are primarily restricted to the quantitative analysis of system structural parameter uncertainties (such as the boom's geometric dimensions, material properties, etc.). On the other hand, the problem with predicting system responses due to external excitation uncertainty can be successfully resolved by the analytical approach mentioned in this paper. This paper's approach makes it possible to estimate dynamic response boundaries while taking the excitation source's random properties into account. This approach offers a novel theoretical tool for handling the uncertainty analysis of vibration systems under complicated working conditions, in addition to breaking out of the analytical framework of conventional research restricted to structural parameter uncertainty. In recent years, the enhancement of standards for pouring precision and construction safety at job sites has led to continuous innovation in the analytical methodologies for pump truck boom vibration. Source [14] suggested an uncertain model update optimization strategy using interval overlap and Chebyshev polynomials. This method approximates the system response with Chebyshev polynomials and quantifies uncertainty using interval overlap, resulting in outstanding computing efficiency and accuracy in the optimization process. Source [15] confirmed the efficacy of non-probabilistic models in adverse environments by examining the structural stability of flexible robotic arms at high-temperature conditions. Source [16] introduced an innovative interval model updating framework utilizing correlation propagation and matrix similarity techniques, designed to enhance the accuracy and reliability of uncertain structural models amid parameter uncertainties (e.g., material properties, geometric dimensions, etc.). These studies [17; 18; 19] demonstrate that the non-stochastic analysis method can compensate for the limitations of the traditional probabilistic model in scenarios of inadequate data while also more effectively characterizing the system response under complex excitation conditions, thereby offering robust theoretical support for the vibration analysis of pump truck booms. The majority of the work that is now available concentrates on conventional research avenues such as the geometric optimization of boom systems and the investigation of material property parameters, despite the fact that numerous studies have produced notable advancements in the field of mechanical booms. This work, on the other hand, concentrates on a more difficult practical engineering issue: the intricate rheological characteristics of fluid concrete as it passes through the delivery pipeline during concrete pumping. In particular, concrete's physical property parameters (viscosity, mass density, etc.) exhibit notable non-uniform distribution features in both time and space dimensions due to its non-Newtonian nature.