In the first part of this thesis, the almost sure asymptotic stability of quasi-integrable generalized Hamiltonian system under light damping and weak Gaussian white noise excitations are evaluated based on the developed stochastic averaging method for quasi-integrable generalized Hamiltonian system. The correctness of this method is approved by digital simulation. The effects of system parameters on the stochastic stability of generalized Hamiltonian system are examined. It is pointed out that the stable region minishes while the excitations increase or the dampingcoefficient d33 decrease.In the second part of this thesis, the linear stability of natural draft cooling tower with different structural height under wind force and concentrate loads is analyzed. The analytical results provide the basis for the design and construction of the cooling tower. |