Generalized eigenfunction expansion concerning normal operators 與正常算子相關(guān)的廣義特征函數(shù)展開
Comparison of modal function expansion method with eigenfunction expansion method for prediction of hydroelastic responses of vlfs 預(yù)報(bào)超大型浮體水彈性響應(yīng)的模態(tài)函數(shù)展開方法和特征函數(shù)展開方法比較
In chapter 8 solutions by eigenfunction expansion to 1 - dimensional problems of mechanics and 2 - dimensional problems of theory of elasticity are researched 第八章研究1維力學(xué)和2維彈性力學(xué)問題的特征函數(shù)展開解法。
By using the eigenfunction expansion technique , a one - dimension finite element formulation is then developed to determine the eigensolutions to the 2d heat conduction problem at the crack tip , which discretizes the sectorial domain circumferenially 利用特征方程展開方法,可獲得分析裂紋尖端處二維熱傳導(dǎo)特征解的一維有限元列式。
The governing equations of the problem are derived in hamiltonian form by using variable substitution and variational principle . then the methods of separation of variables and conjugate symplectic eigenfunction expansion are developed to solve the equations of plate bending problem . the result can be derived by analytical method 在平面彈性問題中,由變量代換及變分原理,方程可導(dǎo)向哈密頓體系,從而通過分離變量法及共軛辛本征函數(shù)向量展開法,以解析的方法來進(jìn)行求解。