考慮軸向均布載荷時(shí)線彈性支承壓桿的穩(wěn)定性計(jì)算

《考慮軸向均布載荷時(shí)線彈性支承壓桿的穩(wěn)定性計(jì)算》由會(huì)員上傳分享，免費(fèi)在線閱讀，更多相關(guān)內(nèi)容在行業(yè)資料-天天文庫。

1、InternationalJournalofMechanicsResearch力學(xué)研究,2015,4,7-14PublishedOnlineMarch2015inHans.http://www.hanspub.org/journal/ijmhttp://dx.doi.org/10.12677/ijm.2015.41002StabilityCalculationofLongColumnunderLinearElasticSupportsandExtraAxialUniformLoadKaizhiHuang*,XiaoliangChen,Zu’anTia

2、n,JianpingDingSchoolofMathematics&Physics,ChongqingUniversityofScience&Technology,Chongqing*Email:mocd361@163.comthrdthReceived:Mar.6,2015;accepted:Mar.23,2015;published:Mar.27,2015Copyright?2015byauthorsandHansPublishersInc.ThisworkislicensedundertheCreativeCommonsAttributionI

3、nternationalLicense(CCBY).http://creativecommons.org/licenses/by/4.0/AbstractForcalculatingthestabilityoflongcolumnunderlinearelasticsupportsandextraaxialuniformload,firstofall,withthestaticequilibriumconditionsofthemicrosectionoflongcolumn,theap-proximateequationsofdeformation

4、sandinternalforcesareestablished;Thenext,bytheboun-daryconditionsofdeformationsandinternalforces,andtherelationshipbetweeninternalforcesandexternalforces,andtherelationshipbetweenexternalforcesanddeformations,thehomoge-neouslinearequationsofcontaining12initialparametersareestab

5、lished,bytheconditionsofequationswithnon-zerosolution,thecharacteristicequationofcriticalloadarederived;Thelast,taking6linearelasticsupportslongcolumnsasexample,thestabilityiscalculated,theapprox-imaterelationcurvesbetweenaxialuniformloadandconcentratedloadaredrawn,andthenu-mer

6、icalsolutionsofinterceptsonCartesiancoordinatesystemaregiven,andfoundthatthetrendofeachcurve,andtherelationshipofsortingtostabilityrepresentedbythem,aremoreconsistentwiththeoreticalexpectations.KeywordsMechanicsofMaterials,LongColumn,Stability,CriticalLoad,LinearElasticSupport,

7、AxialUniformLoad考慮軸向均布載荷時(shí)線彈性支承壓桿的穩(wěn)定性計(jì)算*黃開志，陳小亮，田祖安，丁劍平*通訊作者。7考慮軸向均布載荷時(shí)線彈性支承壓桿的穩(wěn)定性計(jì)算重慶科技學(xué)院數(shù)理學(xué)院，重慶*Email:mocd361@163.com收稿日期：2015年3月6日；錄用日期：2015年3月23日；發(fā)布日期：2015年3月27日摘要為了計(jì)算考慮軸向均布載荷時(shí)線彈性支承壓桿的穩(wěn)定性，首先用壓桿微元段的靜力平衡條件，建立了其變形和內(nèi)力的近似方程；接著由變形邊界條件、內(nèi)力邊界條件、內(nèi)力與外力的關(guān)系、外力與變形的關(guān)系，確定了一個(gè)包含12個(gè)初參數(shù)的齊次線性方程組

8、，由方程組有非零解的條件，導(dǎo)出了臨界載荷的特征方程；最后以6個(gè)線彈性支承的壓桿為例，進(jìn)行了穩(wěn)定性計(jì)算，繪制了