Composite Elastic Beam Structure Vibration Problems Of Computer Numerical Calculation

Elastic multi-beam structures usually consist of a mumber of elastic substructures(rods, beams, etc.) coupled by some proper junctions, which are widely used inengineering applications. This thesis is intended to solve numerically the vibrationproblems of the elastic multi-beam structures, present some computation method.Calculation and experimental verification has been conducted on the model by means ofMatlab software and computer programming.To begin with, the computational shceme of time continuous linear finite elementmethod is proposed. The stability, accuracy and the convergence of this algorithm havebeen analyzed. By the finite difference analysis this method is uncondition stability, oneorder accurate and high computational efficiency. The spectral radius, algorithmicdamping ratio and relative period error of this method are obtained in figures, whichshow the high performance. Some program calculations are given to show the efficencyof this method.In addition, the time continuous linear finite element method is used to numericalsolution of elastic multi-beam structures. The problem to be solve is given and themodel is proposed, the time continuous linear finite element method for this problem isobtained. Program commands for Matlab are list. The concrete progross include localmatrix computing and global matrix computing in time and space directions is given.We draw the flowchart of algorithm.At last, some engineering prolems are solved by means of computer programmingwith the software Matlab6.5. The computational results have been analyzed, the errortable and figure are obtained, the animation demonstrations are also established.