A保存的 发表于 2025-3-23 10:45:45
Kazumi WatanabeA valuable reference book for engineers.Includes full descriptions of the Cagniard-de Hoop technique and the branch cut for square root functions.Employs a unified mathematical technique as the solutiMendacious 发表于 2025-3-23 17:32:09
http://reply.papertrans.cn/47/4684/468341/468341_12.pngAllege 发表于 2025-3-23 21:00:53
https://doi.org/10.1007/978-3-319-17455-6Cagniard‘s-de Hoop Techniques; Exact Solutions; Green‘s Function and Dyadic; Integral Transform; Wave Ph滔滔不绝的人 发表于 2025-3-23 23:45:23
,Green’s Dyadic for an Isotropic Elastic Solid,onses, are obtained by the integral transform method. The time-harmonic response is derived by the convolution integral of the impulsive response without solving the differential equations for the time-harmonic source. In the last section, two exact closed form Green‘s functions for torsional waves are also presented.Coeval 发表于 2025-3-24 04:11:44
http://reply.papertrans.cn/47/4684/468341/468341_15.pnglegislate 发表于 2025-3-24 08:22:43
Definition of Integral Transforms and Distributions,unctions which are frequently used as the source function, and a concise introduction of the branch cut for a multi-valued square root function. The multiple integral transforms and their notations are also explained. The newly added Sect. 1.3 explains closely how to introduce the branch cut for the开始没有 发表于 2025-3-24 12:03:10
,Green’s Functions for Laplace and Wave Equations,ique of the integral transform method is demonstrated. Especially, in the case of the time-harmonic response for the 1 and 2D wave equations, the integration path for the inversion integral is discussed in detail with use of the results in Sect. 1.3. At the end of the chapter, the obtained Green‘s fAmendment 发表于 2025-3-24 16:51:25
http://reply.papertrans.cn/47/4684/468341/468341_18.png沙发 发表于 2025-3-24 20:42:26
http://reply.papertrans.cn/47/4684/468341/468341_19.png得意牛 发表于 2025-3-24 23:46:51
,Green’s Functions for Beam and Plate,eam and plate are discussed. Two dynamic responses, the impulsive and time-harmonic responses, are derived by the integral transform method. In addition to the tabulated integration formulas, an inversion integral is evaluated by the application of the complex integral theory.