| Optimum structural design is widely used in structure, and particularly dynamic analysis and dynamic optimum are very important in structural research. In the process of optimum design, optimum efficiency depends largely on the computation efficiency and accuracy of sensitivity analysis. The object of sensitivity analysis is to find out the most sensitive parameters for the impact of respond. Sensitivity analysis has become an integral part of optimum design.The paper research sensitivity analysis method of highway and bridge dynamic response optimal design based on Newmark under carload, and it comes true with MATLAB program.In the part of optimum design, the paper gives an overview of basic concept of dynamic optimum design, the process of solutions to the problem and mathematical model. And give the problems for the sensitivity analysis of dynamic response optimal design.In the part of structural dynamic response, the paper derivative commonly expression of structural dynamic equation, give the problems of dynamic response, and introduce solutions to the problem of generally methods of dynamic response, the forms of integer rigidity matrix and mass matrix, and the solve methods of Jacobian matrix for rigidity matrix and mass matrix to design variable. It provides a basis for sensitivity analysis, and comes true integral Newmark in MATLAB program.In the part of sensitivity analysis for the structural transient state dynamic response, the paper research the sensitivity analysis method based on Newmark. Under this method, it gives solutions to the problem of sensitivity of structural transient state dynamic response at the same time. At last, it uses MATLAB to program sensitivity analysis method.It can receive satisfactory result to adopt this method. Sensitivity analysis technique has become an important part of optimum design. With the development of optimum design technique, sensitivity analysis technique must be widely used in real engineering, and it will play a greater role.
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