Abstract
The article investigates the influence of boom deformation on the oscillation of the lifting object in a telescopic boom crane during the load lifting and lowering process. To determine the parameters of the payload trajectory, the article constructs a dynamic model of the telescopic boom crane when handling loads. The companion scaling method with Ritz-Galerkin approximations is utilized to build a system of differential equations describing the crane's dynamic model considering the boom deformation. Based on this, the article compares the parameters of the dynamic model describing the lifting object's trajectory in the cases of rigid and deformed booms to examine the impact of boom elasticity. The research results of the article can provide a basis for developing more accurate control algorithms for telescopic boom cranes.