振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2015年
4期
148-152,194
,共6页
刘志军%夏唐代%黄睿%陈炜昀
劉誌軍%夏唐代%黃睿%陳煒昀
류지군%하당대%황예%진위윤
Biot 理论%修正的 Biot 理论%弹性系数%应力%孔隙流体压力%参数
Biot 理論%脩正的 Biot 理論%彈性繫數%應力%孔隙流體壓力%參數
Biot 이론%수정적 Biot 이론%탄성계수%응력%공극류체압력%삼수
biot theory%modified biot theory%elastic coefficients%stress%pore-fluid pressure%parameters
对Biot理论和修正的Biot理论中的波动方程进行了详细推导,注明了每个参数的量纲和准确含义,并基于修正的 Biot 理论导出了三种不同形式的波动方程;对两种理论进行比较,得到了 Biot 弹性系数表达式,并分析了两者的应力及其对应关系;最后,着重对易被混淆的孔隙流体压力符号的正方向和含义,以及基本方程中部分参数的定义式进行了讨论,有助于更好地理解、应用 Biot 理论和修正的 Biot 理论。
對Biot理論和脩正的Biot理論中的波動方程進行瞭詳細推導,註明瞭每箇參數的量綱和準確含義,併基于脩正的 Biot 理論導齣瞭三種不同形式的波動方程;對兩種理論進行比較,得到瞭 Biot 彈性繫數錶達式,併分析瞭兩者的應力及其對應關繫;最後,著重對易被混淆的孔隙流體壓力符號的正方嚮和含義,以及基本方程中部分參數的定義式進行瞭討論,有助于更好地理解、應用 Biot 理論和脩正的 Biot 理論。
대Biot이론화수정적Biot이론중적파동방정진행료상세추도,주명료매개삼수적량강화준학함의,병기우수정적 Biot 이론도출료삼충불동형식적파동방정;대량충이론진행비교,득도료 Biot 탄성계수표체식,병분석료량자적응력급기대응관계;최후,착중대역피혼효적공극류체압력부호적정방향화함의,이급기본방정중부분삼수적정의식진행료토론,유조우경호지리해、응용 Biot 이론화수정적 Biot 이론。
The wave equations of Biot theory and modified Biot one were derived,and the dimension and correct definition of each parameter in the equations were clearly indicated.Based on the modified Biot theory,three different forms of wave equations were derived as well.Then,by comparing those two theories,the expressions of Biot elastic coefficients were obtained,and the stresses of the two theories and their correspondences were analyzed.Finally, particularly,the positive direction and meaning of pore-fluid pressure sign and the definitions of part parameters in the fundamental equations were discussed to be helpful for understanding and using the two theories.