cauchy residue theorem 中文意思是什麼
cauchy residue theorem
解釋
柯渦數定理-
Using riemann - schwarz ' s symmetry principle of complex functions, the above problems are transformed into riemann - hilbert boundary problems. by combining the analysis of singularity of complex functions, generalized liouville ' s theorem, cauchy model integral and residue theorem, the general solutions of above problems are presented
創造性運用復變函數解析延拓原理，將上述問題轉化為riemann - hilbert邊值問題，結合復應力函數奇性主部分析方法、廣義liouville定理、 cauchy型積分和留數定理，獲得了上述問題的一般解答。 -
Cauchy residue theorem
柯渦數定理 -
The main work and achievements are summarized as follows : according to the spectrum analysis theory, the simple formula of the power spectrum between the excitation and the response is obtained. then the time - domain statistical properties of the structural response are acquired through fourier inverse transform, and cauchy ' s residue theorem is applied to solving the integral of fourier inverse transform, the structural dynamic reliability is calculated in terms of possion hypothesis based on first passage failure
主要研究內容如下：從譜分析理論出發，得到了激勵與響應功率譜之間的簡明關系式，由fourier逆變換得到響應的時域特徵，利用cauchy留數理論處理fourier逆變換的積分式，基於首超破壞的possion假設計算結構系統的動力可靠性，並在此基礎上進行結構優化設計，奠定了確定性模型的基礎。
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