DYNAMIC MODELING, STABILITY ANALYSIS, AND TRAJECTORY OPTIMIZATION OF MOBILE AND TELESCOPIC CRANES: A REVIEW STUDY

Abstract

This paper presents a comprehensive synthesis of research conducted over the past three decades on the dynamic modeling, stability analysis, and trajectory optimization of mobile and telescopic cranes. Based on an analysis of eight representative studies from Poland, China, and Russia, the work integrates mathematical models, simulation methodologies, and stability criteria that have been applied in the field of modern lifting machinery. The reviewed approaches include nonlinear dynamic models derived from Lagrange’s equations, aerodynamic models of payloads under wind excitation, and trajectory optimization methods aimed at minimizing energy consumption and load oscillations. The paper also discusses emerging research trends in intelligent control, numerical simulation, safety standardization, and machine learning–based design of modern cranes.