For the sake of safety of structures subjected to abnormal loadings, damper could be one of the effective devices to reduce the responses by the energy dispassion functions. Key points in the process of development and application of damper and aseismatic engineering are narrated. Due to the highly nonlinear behavior properties, most of the case studies aim on these kind of dynamic analysis only working on structures with elastic linearly behavior systems. In addition to the nonlinearly behavior of damper devices, structures behave into nonlinearly as well when subjected by abnormal excitation, for instance, severe earthquakes. Materials respond into nonlinearly beyond yielding or plastic hinges occurred somewhere in the controlled structures. Proper software package is used to calculate the responses of simple portal frames which are controlled with dampers allocated. Both of structures and damper devices are considered and behaved according to its nonlinearly properties. Responses beyond yielding of material are rationally analyzed and revealed in time history expressions.