By using travelling wave reduced form method,the nonlinear partial differential equation of wave propagation in a functionally graded beam was transformed into an ordinary differential equation.

“The provisional constitution in the Political tutelage time of the Republic of China”was used as fundamental law for the longest time in the history of the Republic of China, The formulation of which had some representative and research value in this period.

Based on successive unconstrained programming methods, the successive bound constrained programming algorithms for large-scale process system optimization are studied in this paper.

By using the traveling wave reduction method, the exact solutions to the (1+1) dimensional Zakharov equation, Korteweg\|de Vries equation with variable coefficients are obtained with the aid of exact solutions to the cubic nonlinear Klein Gordon equation.

The optimum design scheme introduced in the paper uses the zigzag method with constraint,makes parameter optimization with the help of ANSYS and focuses on the optimization of the section of the grid.