The paper studies the propagation of Love waves in a non-homogeneous substratum over an initially stressed heterogeneous half-space. The dispersion equation of phase velocity is derived. The velocities of Love waves a...The paper studies the propagation of Love waves in a non-homogeneous substratum over an initially stressed heterogeneous half-space. The dispersion equation of phase velocity is derived. The velocities of Love waves are calculated numerically as a function of kH and presented in a number of graphs, where k is the wave number, and H is the thickness of the layer. The case of Gibson＇s half-space is also considered. It is observed that the speed of Love waves is finite in the vicinity of the surface of the half-space and vanishes as the depth increases for a particular wave number. It is also observed that an increase in compressive initial stresses causes decreases of Love waves velocity for the same frequency, and the tensile initial stress of small magnitude in the half-space causes increase of the velocity.展开更多
In the present paper we study the effect of rigid boundary on the propagation of Love waves in an inhomogeneous substratum over an initially stressed half space, where the heterogeneity is both in rigidity and density...In the present paper we study the effect of rigid boundary on the propagation of Love waves in an inhomogeneous substratum over an initially stressed half space, where the heterogeneity is both in rigidity and density. The dispersion equation of the phase velocity has been derived. It has been found that the phase velocity of Love wave is considerably influenced by the rigid boundary, inhomogeneity and the initial stress present in the half space. The velocity of Love waves have been calculated numerically as a function of KH (where K is a wave number H is a thickness of the layer) and are presented in a number of graphs.展开更多
In this article, we have derived a new and more general formulation of Love waves in arbitrarily irregular multi-layered media by using the global generalized reflection/transmission (abbreviated to R/T thereafter) ma...In this article, we have derived a new and more general formulation of Love waves in arbitrarily irregular multi-layered media by using the global generalized reflection/transmission (abbreviated to R/T thereafter) matrices method developed earlier by Chen [17~20]. From the basic principle that the modal solutions are the non-trivial solutions of the free elastodynamic equation under appropriate boundary conditions, we naturally derived the characteristic frequencies and the corresponding distorted modes of Love wave in irregular multi-layered media. Moreover, we have derived the corresponding excitation formulation of Love waves in such laterally heterogeneous media by using the general solution of elastodynamic equation [17~20]. Similar to the result for laterally homogeneous layered structure, the Love waves radiated from a point source in irregular multi-layered media can be expressed as a superposition of distorted modes. Since the structure model used here is quite arbitrary, it can be used for展开更多
The inexorable rise of digital finance has lead to huge changes in consumption patterns.Under this background,we match the index of Digital Financial Inclusion with data of the China Family Panel Studies(CFPS)to explo...The inexorable rise of digital finance has lead to huge changes in consumption patterns.Under this background,we match the index of Digital Financial Inclusion with data of the China Family Panel Studies(CFPS)to explore the relationship between digital finance and household consumption.Firstly,based on sub-sample empirical analysis,we find that digital finance has helped increase urban household consumption,especially the basic consumption related to life,in China.Secondly,we discuss the mechanism of digital finance to promote household consumption,concluding that the payment convenience of digital finance has accelerated household consumption decisions,thereby promoting consumption growth.Moreover,digital finance can also promote household consumption by reducing the uncertainty faced by family.展开更多
文摘The paper studies the propagation of Love waves in a non-homogeneous substratum over an initially stressed heterogeneous half-space. The dispersion equation of phase velocity is derived. The velocities of Love waves are calculated numerically as a function of kH and presented in a number of graphs, where k is the wave number, and H is the thickness of the layer. The case of Gibson＇s half-space is also considered. It is observed that the speed of Love waves is finite in the vicinity of the surface of the half-space and vanishes as the depth increases for a particular wave number. It is also observed that an increase in compressive initial stresses causes decreases of Love waves velocity for the same frequency, and the tensile initial stress of small magnitude in the half-space causes increase of the velocity.
文摘In the present paper we study the effect of rigid boundary on the propagation of Love waves in an inhomogeneous substratum over an initially stressed half space, where the heterogeneity is both in rigidity and density. The dispersion equation of the phase velocity has been derived. It has been found that the phase velocity of Love wave is considerably influenced by the rigid boundary, inhomogeneity and the initial stress present in the half space. The velocity of Love waves have been calculated numerically as a function of KH (where K is a wave number H is a thickness of the layer) and are presented in a number of graphs.
文摘In this article, we have derived a new and more general formulation of Love waves in arbitrarily irregular multi-layered media by using the global generalized reflection/transmission (abbreviated to R/T thereafter) matrices method developed earlier by Chen [17~20]. From the basic principle that the modal solutions are the non-trivial solutions of the free elastodynamic equation under appropriate boundary conditions, we naturally derived the characteristic frequencies and the corresponding distorted modes of Love wave in irregular multi-layered media. Moreover, we have derived the corresponding excitation formulation of Love waves in such laterally heterogeneous media by using the general solution of elastodynamic equation [17~20]. Similar to the result for laterally homogeneous layered structure, the Love waves radiated from a point source in irregular multi-layered media can be expressed as a superposition of distorted modes. Since the structure model used here is quite arbitrary, it can be used for
基金National Natural Science Foundation of China Youth Project“The Impact of Digital Finance Development on Household Consumption:Micro Mechanism and Structure Difference”(72003011)Youth Project of Humanities and Social Sciences Fund of the Ministry of Education“The Impact of Education Financial Investment on Family Education Expenditure Decision:Micro Mechanism and Empirical Test”(19YJC790036)National Key Project of Statistical Science Research“Statistical Monitoring of High-Quality Development of Urban Agglomeration of Beijing,Tianjin and Hebei”(2019LZ16).
文摘The inexorable rise of digital finance has lead to huge changes in consumption patterns.Under this background,we match the index of Digital Financial Inclusion with data of the China Family Panel Studies(CFPS)to explore the relationship between digital finance and household consumption.Firstly,based on sub-sample empirical analysis,we find that digital finance has helped increase urban household consumption,especially the basic consumption related to life,in China.Secondly,we discuss the mechanism of digital finance to promote household consumption,concluding that the payment convenience of digital finance has accelerated household consumption decisions,thereby promoting consumption growth.Moreover,digital finance can also promote household consumption by reducing the uncertainty faced by family.
