The embodiment of the invention relates to a modeling and
nonlinear vibration analysis method for a cone-column combined shell connected by a bolt and a
flange. The method comprises the following steps: establishing a three-dimensional model of the bolt
flange connection cone-column combined shell, performing
simulation pretreatment on the model to obtain a finite
element model of the bolt
flange connection cone-column combined shell, setting parameters, applying acceleration excitation, and performing state setting; simulating calculation is conducted on the inherent frequency, the vibration mode and the
structural vibration response under different excitation amplitudes under the set tightening torque, and a
simulation result is verified through a
modal test and a basic excitation response test; the dynamic
softening phenomenon of an amplitude-
frequency curve is explained from the two aspects of contact stress and contact state of a bolt flange connection interface; and analyzing the influence rule of the
excitation amplitude, the bolt pre-tightening force and the flange thickness on the
nonlinear vibration characteristic of the structure. According to the method, a finite
element model is adopted and is combined with a test for comparative research, the modeling method is accurate in calculation result, and the modeling requirement of a complex actual structure can be met.