长沙理工大学学报(自然科学版)
長沙理工大學學報(自然科學版)
장사리공대학학보(자연과학판)
Journal of Changsha University of Science and Technology(Natural Science)
2014年
3期
21-25,39
,共6页
粘弹性地基%中厚板%粘滞系数%横向剪切因子%地基反应模量
粘彈性地基%中厚闆%粘滯繫數%橫嚮剪切因子%地基反應模量
점탄성지기%중후판%점체계수%횡향전절인자%지기반응모량
viscoelastic foundation%moderate thickness plates%coefficient of viscosity%transverse shear factor%reaction modulus of foundation
为了解决中厚板与粘弹性地基共同作用下的非线性振动问题,在 Reissner-Mindlin一阶剪切变形板的理论基础上,运用 pb-2瑞利-里兹法分析双参数粘弹性地基上四边自由矩形中厚板的非线性自由振动,探讨了板的尺寸参数、横向剪切因子、粘滞系数以及地基反应模量对板的振动特性产生的影响及其变化规律。并对数值算例进行编程求解,与文献实测数据进行对比,结果十分接近,证明了该方法的可行性。
為瞭解決中厚闆與粘彈性地基共同作用下的非線性振動問題,在 Reissner-Mindlin一階剪切變形闆的理論基礎上,運用 pb-2瑞利-裏玆法分析雙參數粘彈性地基上四邊自由矩形中厚闆的非線性自由振動,探討瞭闆的呎吋參數、橫嚮剪切因子、粘滯繫數以及地基反應模量對闆的振動特性產生的影響及其變化規律。併對數值算例進行編程求解,與文獻實測數據進行對比,結果十分接近,證明瞭該方法的可行性。
위료해결중후판여점탄성지기공동작용하적비선성진동문제,재 Reissner-Mindlin일계전절변형판적이론기출상,운용 pb-2서리-리자법분석쌍삼수점탄성지기상사변자유구형중후판적비선성자유진동,탐토료판적척촌삼수、횡향전절인자、점체계수이급지기반응모량대판적진동특성산생적영향급기변화규률。병대수치산례진행편정구해,여문헌실측수거진행대비,결과십분접근,증명료해방법적가행성。
Based on the theory of Reissner-Mindlin first order shear deformation plate,the vibration method of pb-2 Rayleigh-Ritz analysis the vibration problems of moderate thick-ness rectangular plates with four free edges resting on a biparametric viscoelastic foundation is used to solve the question of free rectangular middle thick plate with biparametric viscoe-lastic foundation ,the influence and change laws of the vibration characteristics of the plates caused by the size parameters,transverse shear factor,reaction modulus of foundation are discussed.The numerical examples are programmed,the solution obtained is compared with the measured date from the literature.The solutions are almost identical,the presented method is proved to be feasible.