请用science杂志的语言风格帮我润色以下段落：In practical engineering foundations often exhibit viscoelastic behavior Therefore using viscoelastic models to simulate the foundation can more accurately describe its mechan

In practical engineering, it is common for foundations to display viscoelastic behavior. As such, utilizing viscoelastic models to simulate the foundation can provide a more accurate depiction of its mechanical behavior. Chen and Huang have established the stiffness matrix of a Timoshenko beam on a viscoelastic foundation in a moving coordinate system of uniform velocity. Using the European railway as an example, they have calculated the dynamic response under a harmonic load [14, 15]. Kargarnovin and Younesian have solved the governing equation utilizing the complex Fourier transform combined with the residual convolution integral theorem. They have discussed the response of an infinitely long Timoshenko beam on a viscoelastic foundation under a moving load and a harmonic moving load [16, 17]. Cao et al. have studied the response of rigid pavement on a viscoelastic foundation under variable speed load using an infinite beam. They have obtained the dual integral solution by utilizing the double Fourier transform and inverse Fourier transform, and carried out numerical calculations using fast Fourier transform [18]. Sun and Luo have studied the response of an Euler-Bernoulli beam on a viscoelastic foundation under a series of moving loads, proposing an efficient numerical solution method based on fast Fourier transform [19]. Rezvani and Khorramabadi have investigated the dynamics of an infinite Timoshenko beam with laminated composite materials on a viscoelastic foundation by utilizing the complex infinite Fourier transform method [20]. Lv et al. have regarded asphalt pavement as an infinite beam on a Kelvin viscoelastic foundation. They have deduced the analytical solution of its transient equation under a moving load using Green’s function, Laplace transform, and Fourier transform [21]. Basu et al. have developed the closed solution of the infinite beam on the Kelvin foundation to the constant velocity concentrated load, establishing the dynamic amplification curve of the beam deflection [22]. Ding et al. have employed a combination of the Adomian decomposition method, perturbation method, and complex Fourier transform to solve the dynamic response of an infinitely long Timoshenko beam on a nonlinear viscoelastic foundation to a moving load. They have considered both the influence of beam shear deformation and foundation shear modulus in their study [23]. Yu et al. have deduced the analytical solution subject to arbitrary dynamic load utilizing Fourier and Laplace transform and convolution theorem [24]. Zhao et al. have derived the approximate solution of the non-stationary random vibration power spectrum response of an infinite beam on a Kelvin foundation under a moving random load based on the pseudo-excitation method and Fourier transform [25]. Froio et al. have studied the relationship between the displacement of the beam and the load velocity of the infinitely uniform beam on the bilinear continuous basis under the constant moving load [26]. Yu and Yuan have studied the dynamic response of an infinite beam to a Pasternak foundation under an inclined moving load by utilizing double Fourier transform and inverse transform [27]. Zhen et al. have solved the steady-state response of an infinite elastic beam on a nonlinear basis under moving harmonic loads by utilizing Fourier transform, residue theorem, and convolution theorem [28]. Ghannadiasl et al. have evaluated the model of an infinite Timoshenko beam subjected to an accelerated moving load on Winkler, Pasternak, and viscoelastic foundation models, finding that the type and depth of the foundation have a significant impact on the dynamic performance of the foundation [29].