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Sandwich structures have been widely used in fields of sound insulation panels and vibration reduction structure design due to their lightweight, excellent performance in vibration reduction and sound insulation. Usually, sandwich panels in vibration tend to exhibit bending vibration modes in the low frequency band.However, the properties of sandwich skin materials and core materials often differ significantly, resulting in rich vibration modes in the midium and high frequency bands. Therefore, it is necessary to establish a theoretical prediction method for sandwich panel vibration applicable to various frequency bands. In this paper, a new theoretical calculation method for sandwich panel vibration was developed, in which three-dimensional elastic mechanics theory was applied to core material of sandwich panel while thin plate theory was applied to skin material. The theoretical method presented in this paper can reflect the bending deformation mode and dilatational deformation mode of sandwich panels, and allow for normal deformation of sandwich panels. As a result, the method can significantly improve the accuracy of vibration prediction calculation for medium and high frequency bands. Comparison of the calculation results of the theoretical method in this paper with those of other theoretical calculation methods and finite element method by an example proved the effectiveness and advantages of the theoretical method in this paper.
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| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |
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