Vibration Energy Flow Analysis Of Periodic Nanoplate Structures Under Heat Load

When studying the vibration of engineering structures,noise control is one of the research hotspots,so the analysis and detection of structural vibration and noise play an important role in controlling vibration design.This paper is mainly based on the theory of higher-order strain gradient,using vibration sound intensity method and finite element method to study the distribution and transfer of energy flow in the periodic nanoplate and its change with the band gap frequency during vibration.Firstly,nanoplates were used as the research object,and based on strain gradient theory,the characteristics of vibration energy flow of nanoplates under external force and thermal load are studied.The vibrational differential equations of thin plates with simply supported four sides under the second-and fourth-order strain gradient theory are introduced.The natural frequencies obtained by the finite element method under the second-and fourth-order strain gradient theory can be analyzed.It is concluded that the fourth-order strain gradient theory is more accurate and effective than the second-order strain gradient theory.Secondly,two kinds of graphene materials were selected to establish the finite element model of periodic structure arrangement.Find the band structure of the primitive cell under Bloch's theorem,and take ten-period cantilever periodic nanoplates as an example.Based on the high-order strain gradient theory,use the finite element method to program the mass matrix and stiffness matrix of periodic nanoplates through MATLAB programming.The frequency response of the periodic nanoplate is obtained.By comparing with the energy band structure of the original cell,the validity of the method of obtaining the bandgap structure of the periodic nanoplate is verified in this paper.The following influences provide important theoretical support.In the study of engineering structures,the study of thermal and mechanical loads on energy is the most important research object.A ten-period cantilever nanoplate structure was established.Based on the fourth-order strain gradient theory and based on the vibration sound intensity method,the effects of coupling thermal and mechanical loads on the vibration energy flow of a finite element periodic nanoplate structure were studied.Influence of structural strength.Using finite element method in MATLAB to obtain visual streamline diagrams of different mechanical loads under different thermal load conditions in the forbidden band.When observing the structure vibration,the position of the energy source and the path of the energy flow can be seen through comparison.The thermal load can be offset Effects of mechanical loads on vibrational energy flow.In order to further understand the effects of mechanical and thermal loads on the vibrational energy flow,select a point in the periodic nanoplate and find the effect of this point on the thermal and mechanical loads of the energy component.Find the criticality of the thermal and mechanical loads on the energy value.