Renewed Jeeves’s Mechanical Inversion of the Material Constant of Composite Glass Box Beam via the Cumulative Bayesian Theory*

For composite glass box beam, the cumulative Bayesian estimative error function of the material constant of the structure was deduced with the Bayesian theory. Mechanical behavior of the composite glass box beam was simulated via the finite stripped element method and agglomeration theory. Combined with the quadratically parabolic interpolating method of optimum step size, the renewed Jeeves’s mechanical inversion theory was developed to complete the stochastic mechanical inversion of the material constant of a composite glass box beam. Then, the renewed Jeeves’s mechanical inversion steps of material constant of the box beam were completed, and the respective procedure was applied to an examplary case. The achieved mathematic stability and convergence proved the proposed method feasibility and accuracy. The stochastic behavior of the material constant and structural responses are simultaneously taken into account in the cumulative Bayesian estimative error function. Compared with the conjugate gradient optimization results, which are mostly obtained by a complex partial differentiation of structural responses from the analytical model to the material constant, the number of times that the renewed Jeeves’s method calls the derived cumulative Bayesian estimative error function is nearly 33% less, ensuring its better efficiency.