DC 欄位 |
值 |
語言 |
DC.contributor | 機械工程學系 | zh_TW |
DC.creator | 王皓緯 | zh_TW |
DC.creator | Hao-Wei Wang | en_US |
dc.date.accessioned | 2008-7-4T07:39:07Z | |
dc.date.available | 2008-7-4T07:39:07Z | |
dc.date.issued | 2008 | |
dc.identifier.uri | http://ir.lib.ncu.edu.tw:444/thesis/view_etd.asp?URN=953203110 | |
dc.contributor.department | 機械工程學系 | zh_TW |
DC.description | 國立中央大學 | zh_TW |
DC.description | National Central University | en_US |
dc.description.abstract | 本文以考慮橫向剪力與轉動慣量效應的厚板,分別施加預力、側向平面彎矩及邊界彎矩,探討對於厚板自然頻率產生的影響。
過去的文獻中,對於薄板受預力作用的問題已有大量的研究,利用李維法或格樂肯法等數值方法來處理,在工程實務上預力構件也已經被廣泛的使用,但當平板厚度大到一定程度時,薄板所忽略的橫向剪力及轉動慣量的效應會變大,此時薄板的自然頻率與實際值會有明顯差異。
本文針對厚板在四周邊界為簡支撐的情況下,來研究受預力及彎矩等作用對於自然頻率的改變,應用二維彈性力學理論,得到受預力厚板的總勢能,利用漢彌爾頓原理求得統御方程式,並以格樂肯法來求解出自然頻率,與薄板在同樣的預力及彎矩作用情況下所求得自然頻率比較,探討不同厚度下,橫向剪力與轉動慣量對於自然頻率的影響。 | zh_TW |
dc.description.abstract | In this paper, the rectangular plate considers the effects of transverse shear and rotatory inertia. Transverse free vibrations of thick plate which are subjected to in-plane force, in-plane moment and edge moment. The influence for natural frequency of thick plate subjected to in-plane loads.
The problem is assumed that the thick plate is simply supported on all opposite edges and subjected to in-plane loads. The two-dimensional elastic theory and Hamilton principle are exercised to obtain the governing differential equations of thick plate subjected to in-plane loads. The natural frequency of the problem is obtained by using the Galerkin method and treat the effects of transverse shear and rotatory inertia. | en_US |
DC.subject | 平面彎矩 | zh_TW |
DC.subject | 預力 | zh_TW |
DC.subject | 厚板 | zh_TW |
DC.subject | thick plate | en_US |
DC.subject | in-plane force | en_US |
DC.subject | in-plane moment | en_US |
DC.title | 邊界預力與彎矩對於厚板振動的影響 | zh_TW |
dc.language.iso | zh-TW | zh-TW |
DC.title | The effect of vibration for thick plate subject to in-plane force and edge moment | en_US |
DC.type | 博碩士論文 | zh_TW |
DC.type | thesis | en_US |
DC.publisher | National Central University | en_US |