ABSTRACT

The paper addresses an option of basic relationships in a mathematical model for deformation of reinforced shell structures that can be used in construction of underground and aboveground structures. Relationships both under static and dynamic loading are considered. The model is derived in the form of motion equations and takes into account geometrical nonlinearity and transverse shears. To obtain the required relationships, the first variation of the functional of full shell deformation energy is found. An important distinctive feature of the model is that reinforcement of the structure with stiffeners, when the contact between the stiffener and the shell is along the line, is taken into account. This model can be used in design of a wide range of thin-walled shell structures of various geometry. Calculation results are provided.