In this paper,under the non-uniformtransverse load,the problems of nonlinear bending for orthotropic rectangular plate are studied by using'the method of twovariable'[1]and 'the method of mixing perturba...In this paper,under the non-uniformtransverse load,the problems of nonlinear bending for orthotropic rectangular plate are studied by using'the method of twovariable'[1]and 'the method of mixing perturbation'[2].The uniformly valid asymptotic solutions of Nth-order for ε1 and Mth-order for ε2 for ortholropic rectangular plale with four clamped edges are oblained.展开更多
We propose a new optical field and show that such an optical field can be generated as an output of a displaced Fock state in an amplitude dissipative channel. We derive new generating function formulas and binomial f...We propose a new optical field and show that such an optical field can be generated as an output of a displaced Fock state in an amplitude dissipative channel. We derive new generating function formulas and binomial formula involving twovariable Hermite polynomials to reach this result. The photon number average in this new optical field is m＋｜α｜^2e^-2κt,which indicates that controlling the photon number can be realized by adjusting the value of m or ｜α｜2 or κ. The time evolution law of displaced Fock state in a thermo reservoir is thus revealed.展开更多
文摘In this paper,under the non-uniformtransverse load,the problems of nonlinear bending for orthotropic rectangular plate are studied by using'the method of twovariable'[1]and 'the method of mixing perturbation'[2].The uniformly valid asymptotic solutions of Nth-order for ε1 and Mth-order for ε2 for ortholropic rectangular plale with four clamped edges are oblained.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11174114 and 11175113)the Natural Science Foundation of Wuxi Institute of Technology of China(Grant No.4013012931)
文摘We propose a new optical field and show that such an optical field can be generated as an output of a displaced Fock state in an amplitude dissipative channel. We derive new generating function formulas and binomial formula involving twovariable Hermite polynomials to reach this result. The photon number average in this new optical field is m＋｜α｜^2e^-2κt,which indicates that controlling the photon number can be realized by adjusting the value of m or ｜α｜2 or κ. The time evolution law of displaced Fock state in a thermo reservoir is thus revealed.
