Stochastic Beam Equation Of Jump Type With Semi Markov Switching

Bea:ms are generally supported by bearings and are mainly subjected to shear forces and lateral forces.And The deformation mode of the member bar is mainly bending.It plays an important role in various engineering fields such as bridge construction and housing,and its application is also extensive.The vibration of beam is the most common problem in mechanics of materials.Beam vibration may be subject,to random interference.In the actual process,random perturbation and jump random interference should be considered.In this thesis,We use the Markov skeleton process theory and transform it into the Markov process using the Martensitic method.We shall discuss the stochastic beam equa-tion of jump type with semi Markov switching.Our main results is following:(i)the description of models;(ii)the existence and uniqueness of solutions;(iii)Markov process corresponding to beam equation;(iv)local description of generator.