Starting from a two - layer nonlinear quasi - geostrophic baroclinic vorticity equation containing ekman friction , a new generalized energy is proposed to act as lyapunov function and thus a new criterion of nonlinear baroclinic subcritical instability containing two inequalities is obtained 從含ekman摩擦的二層非線性準地轉(zhuǎn)斜壓渦度方程出發(fā),提出了一種新的廣義能量作為lyapunov函數(shù),導出了非線性斜壓亞臨界穩(wěn)定性判據(jù)。該判據(jù)含有兩個不等式: ( 1 )
Based on the theories of hybrid / mixed finite element method , the generalized energy functional including stress , mechanical displacement , electric displacement , electric field and electric potential is used , with the electric - potential relations and the constitutive equations of piezoelectric materials constrained , hybrid energy functional including mechanical displacement , electric potential and stress is gained . moreover , splitting in - plane components and transverse components , the mixed energy functional in which mechanical displacement , transverse stresses and electric potential as basic variables is derived . with the use of surface stress parameters of sub - elements , the continuity of transverse stress at interfaces between layers is obtained 在回顧雜交混合有限元理論的基礎上,從包括位移、應力、應變、電勢、電位移、電場強度六個未知量的廣義壓電材料能量泛函出發(fā),通過約束電場強度?電勢關系、應力與應變及電場強度的關系,得到僅包括位移、電勢、應力三個未知量的雜交變分泛函,利用一般層合板的雜交混合變分原理,分離面內(nèi)分量和橫向分量,導出以位移、橫向應力、電勢為未知量的壓電層合板的修正變分泛函,作為壓電層合板的雜交元列式的理論基礎。
Combining high voltage new technology and power electronics technology , this paper developed a controllable steep pulse generator ( cspg ) that can control the energy of output pulse accurately . applied with this generator , a lot of cell experiments and animal experiments were carried out . based on these works , it ' s easier to research mechanism of irreversible electrical breakdown ( ireb ) of malignant tumor cell under steep pulse , and it may be helpful to generalize energy controllable steep pulse therapy ( ecspt ) on cancer treatment 為了研究能量可控陡脈沖對惡性腫瘤細胞不可逆性電擊穿的機理,并將能量可控陡脈沖療法應用于惡性腫瘤的臨床治療,本論文研制出了一套能對輸出陡脈沖的能量進行精確控制的陡脈沖發(fā)生裝置,并應用該裝置進行了大量的醫(yī)學細胞實驗和動物實驗。
A new kind of generalized energy is proposed as the lyapunov function , and thereby resulting in a new criterion of generalized nonlinear symmetric stability . it shows that not only must the dissipative coefficient be greater than a certain critical value but the initial disturbance amplitude must be synchronously smaller than another marginal value as well 從含摩擦耗散的f平面上boussinesq近似下的非線性方程組出發(fā),提出了一種新的廣義能量作為lyapunov函數(shù),導得了一種新的非線性對稱穩(wěn)定性判據(jù):即不僅耗散系數(shù)大于某一臨界值而且同時初始擾動振幅小于另一臨界值。