Scientific Research Publishing

Read  full  paper  at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=45296#.VL33mSzQrzE Author(s)   Wensheng Ding 1* , Zhi Sun 2   Affiliation(s) 1 Department of Bridge Engineering, Tongji University, Shanghai, China . 2 State Key Laboratory for Disaster Reduction in Civil Engineering, Shanghai, China . ABSTRACT This paper presents a wavelet-based approach for estimating the response of the base-isolated structure under seismic ground motions. The seismic ground motion record is expressed as the multi-scale wavelet coefficients which presents the time frequency characteristics of the seismic excitation. The wavelet domain governing differential equation between the wavelet coefficients of the excitation and response is derived. Numerical study on a one-storey base isolated structure is performed. The result shows that the wavelet based response computation method is of high precision.   KEYWORDS Wavelet Tran...

Read  full  paper  at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=53149#.VLXdeMnQrzE Author(s)    Ashish Pathak 1 , Prabhat Yadav 2 , Madan Mohan Dixit 2*   Affiliation(s) 1 Department of Mathematics & Statistics, Dr. Harisingh Gour Central University, Sagar, India . 2 Department of Mathematics, North Eastern Regional Institute of Science and Technology (NERIST), Nirjuli, India . ABSTRACT In the present paper, we obtain asymptotic expansion of the wavelet transform for large value of dilation parameter a by using López technique. Asymptotic expansion of Shannon wavelet, Morlet wavelet and Mexican Hat wavelet transform are obtained as special cases.   KEYWORDS Asymptotic Expansion , Wavelet Transform , Mellin Convolution , Integral Transform Cite this paper Pathak, A. , Yadav, P. and Dixit, M. (2015) Asymptotic Expansion of Wavelet Transform. Advances in Pure Mathematics , 5 , 21-26. doi: 10....