共查询到20条相似文献，搜索用时 31 毫秒
1.
周正 《鹭江职业大学学报》2013,(3):59-63
研究了一个二维空间中带有极限型边值条件的p-Laplace方程,在一定条件下,利用变分方法,得到了二维整体解的存在性,该解沿y方向为周期的,且满足limu（x→±∞）（x,y）=±σ. 相似文献
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陈伟 《宁德师专学报(自然科学版)》2009,21(3):228-232,240
研究满足一个简单条件,但可能不满足Nagumo条件的三阶微分方程三点边值问题的微分不等式的解的存在性及其唯一性． 相似文献
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利用Leray—Schauder非线性抉择讨论了一类非线性项含一阶和二阶导数的三阶三点边值问题解的存在性。在非线性项f满足线性增长的限制的条件下,通过构造适当的Banach空间并证明了一个解的存在定理。 相似文献
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INTRODUCTION Recently, more and more investigations have been conducted on multilayer piezoelectric media. Kharouf and Heyliger (1994) and Heyliger and Ra- mirez (2000) dealt with the free vibration problems of laminated piezoelectric cylinders and discs, respec- tively. Chen (2000) considered the free vibration of (multilayer) nonhomogeneous piezoceramic hollow spheres by employing a separation formulation for displacements. Chen (2001) developed a state-space method for free vibration … 相似文献
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An analytical solution is obtained for a rotating multiferroic composite hollow cylinder made of radially polarized piezoelectric and piezomagnetic materials. Both the number of layers and the stacking sequence of the composite cylinder can be arbitrary. General mechanical, electric and magnetic boundary conditions can be applied at both the inner and outer cylindrical surfaces. The state space method is employed so that only a 2×2 matrix is involved in the whole solving procedure. In the numerical experiments, the distributions of elastic, electric as well as magnetic fields in an internally pressurized rotating BaTiO3/CoFe2O4 composite hollow cylinder subjected to different boundary conditions are presented graphically. The results clearly show that the stress fields in a multiferroic composite cylinder are controllable. 相似文献
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This paper is concerned with Godunov’s scheme for the initial-boundary value problem of scalar conservation laws. A kind of Godunov’s scheme, which satisfies the boundary entropy condition, was given. By use of the scheme, numerical simulation for the weak entropy solution to the initial-boundary value problem of scalar conservation laws is conducted. 相似文献
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为了解决交变隐式时域有限差分法（ADI-FDTD）的截断边界问题,设计了一种媒质吸收薄层铺设在截断边界上,通过给定ADI-FDTD算法基本迭代形式,证明了媒质表面满足阻抗条件时可实现无反射条件.在一维和二维ADI-FDTD计算实例中发现,在这种媒质吸收薄层上电磁波能被很好地吸收,达到无反射的效果. 相似文献
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连续式大直径圆柱壳结构上的波力数值模型 总被引：2，自引：0，他引：2
以线性波理论为基础 ,应用满足两条平行线性边界的无限条形区域的 Helmholtz方程的基本解 ,采用边界单元法建立了连续式大直径圆柱壳结构的一种反射波波力数值模型 .根据本模型的理论与方法 ,采用 Visual C 语言编制了计算程序 .算例计算表明了本方法与程序的有效性 ,并且将作用在连续式大圆柱壳结构的波浪力与方沉箱结构相比较 ,在 D/L=0 .0 9～ 0 .19情况下可降低 14 %～ 2 4% 相似文献
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INTRODUCTION Piezoelectric bimorphs (or benders), a special type of piezoelectric device, which can produce flexural deformation significantly larger than the length or thickness deformation of the individual piezoelectric layers, have been widely used as elec- troacoustic transducers, medical devices and micro- robot due to their characteristics of easy miniaturiza- tion, high positioning accuracy, sensitive response, and large displacement (e.g., Shirley and Hampton, 1978; Ha and Kim, 2… 相似文献
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INTRODUCTION General solution is a convenient, effective method for solving space problems such as problems of infinite, semi-infinite and two-phase infinite media. For linear theory of piezoelasticity, Ding et al.(1996; 1997a) gave the general solution for coupled equa-tions for transversely piezoelectric media using po-tential theory. Ding et al.(1997b; 1997c) gave the general solution of plane problem. Based on the gen-eral solution, Ding et al.(1997a) presented the closed form fundam… 相似文献
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Based on consolidation equations proposed for unsaturated soil, an analytical solution for 1D consolidation of an unsaturated single-layer soil with nonhomogeneous mixed boundary condition is developed. The mixed boundary condition can be used for special applications, such as tests occur in laboratory. The analytical solution is obtained by assuming all material parameters remain constant during consolidation. In the derivation of the analytical solution, the nonhomogeneous boundary condition is first transformed into a homogeneous boundary condition. Then, the eigenfunction and eigenvalue are derived according to the consolidation equations and the new boundary condition. Finally, using the method of undetermined coefficients and the orthogonal relation of the eigenfunction, the analytical solution for the new boundary condition is obtained. The present method is applicable to various types of boundary conditions. Several numerical examples are provided to investigate the consolidation behavior of an unsaturated single-layer soil with mixed boundary condition. 相似文献
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INTRODUCTION In isotropic elasticity a class of mixed boundary value problems for elastic half-space can be classified as axisymmetric torsion. In this case the elastic field in cylinder components takes a particularly simple form consisting of only one nonzero displacement and two nonzero stress components. For this loading case, Reissner and Sagoci (1944) were possibly the first to examine a mixed boundary problem between the tangential displacement and stress on the half-space surface.… 相似文献
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INTRODUCTIONDuetotheirwideapplicationsinengineer ing ,piezoelectriccrystalplatesattractedmuchattentionandhadbeenextensivelystudiedasre ported .However,mostworkswerebasedonva rioustwo dimensionalapproximations (Dokmeci,1 980 ;Lawson ,1 942 ;Mindlin ,1 952 … 相似文献
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令ai≥0,i=1,…,m-3且am-2>0.再令ξi满足0<ξ1<ξ2<…<ξm-2<1且∑m-2i=1aiξi<1.我们研究下面边值问题正解的存在性u?(t)+a(t)f(t)=0,t∈(0,1),u(0)=u′(0)=0,u′(1)=∑m-2i=1aiu′(ξi)其中a(t)∈C([0,1],[0,∞]),f(t)∈C([0,1],[0,∞]).通过锥上的不动点定理证明了在f满足超线性或次线性条件下,上述问题至少存在一个正解. 相似文献
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黄上恒 《商丘师范学院学报》2000,16(4):36-38
研究了同时处于机械与电学载荷之下的压电陶瓷柱体表面裂纹前缘的应力场和电位移场。求得了应力及电位移的奇异性阶数和相应的两个强度因子。 相似文献
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根据永磁电动机的结构特点,在基本假设的基础上,建立了永磁电动机转子二维温度场求解模型。通过温度场微分方程的建立以及各类边界条件的给定,特别是相应的损耗、散热系数的确定。采用有限元法对永磁电动机转子二维温度场进行数值求解,并将数值计算结果和实验数据进行了对比研究,佐证了本研究所采用的研究方法的合理性以及求解域确定的正确性。 相似文献
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孙敏 《湖州师范学院学报》2007,29(2):25-27
考虑了一类弱非线性的四阶常微分方程线性边界条件的边值问题.先利用渐近展开法,将弱非线性问题转化为线性问题.再利用格林函数将原问题的解变为伴随解的积分形式,讨论了伴随解的微分方程及边界条件.最后由伴随齐次问题的每一个非平凡解得到了问题的渐近解的可解条件. 相似文献
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本文研究某类沿可求长闭曲线的超复奇异积分方程的求解问题,将超复奇异积分方程归结为超解析函数的Riesmnn边值问题,建立了方程的可解性,并给出了解的表达式。 相似文献
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