infinitely many periodic solutionssign-changingvariational methodWe obtain infinitely many nontrivial periodic solutions for a class of damped vibration problems, where nonlinearities are superlinear at infinity and primitive functions of nonlinearities are allowed to be sign-changing. By using some weaker ...
where mˆ=v¯jTMvj,cˆ=v¯jTCvj,andkˆ=v¯jTKvj, with v¯j being the complex conjugate of {vj}. The eigensolutions of the abovementioned systems are summarized in Table 11.2. Table 11.2. Eigensolutions of damped systems. Damping typeEigenvaluesEigenvectors No damping[C] = 0 ...
Linear and nonlinear vibration analysis of viscoelastic micro-/nano-beams based on the modified strain gradient theory (MSGT) was conducted by Ansari et al. [32]. To model the problem, the Timoshenko beam theory in conjunction with von Kármán hypothesis and the Kelvin–Voigt model were used....
aThis paper introduces problems and solutions of the Cost of Build Management for Military construction project during the construction stage 在建筑阶段期间,本文介绍修造管理的费用的问题和解答为军事建造计划[translate] a你知道好饭店么? 正在翻译,请等待...[translate] ...
Timoumi, M.: Infinitely many fast homoclinic solutions for a class of superquadratic damped vibration systems, to appear in Journal of Elliptic and Parabolic Equations (2019) Rabinowitz, P.H.: Minimax methods in critical point theory with applications to differential equations. In: CBMS Reg. Conf...
2.This paper presents the followingdamped wave equationwith a nonlinear memory term: utt+αut-Δu-∫t0μ(t-s)|u(s)|βu(s)ds+g(u)=f,in which the existence and uniqueness of global weak solutions are proved based on a priori estimate method.考虑了具有非线性记忆项的非线性阻尼波动方程ut...
Global multiresolution models of surface wave propagation: comparing equivalently regularized Born and ray theoretical solutions I invert a large set of teleseismic phase-anomaly observations, to derive tomographic maps of fundamental-mode surface wave phase velocity, first via ray t... L Boschi - 《...
Approximate solutions of a class of problems of strongly nonlinear positively damped oscillation; 一类有正阻尼的强非线性振动问题的近似解 2. Interpolation perturbation method for solving the positively damped strongly nonlinear free oscillation problems; 有正阻尼时强非线性自由振动问题的插值摄动解法 3. The...
where ωo is the radial frequency of the vibration system if there is no damping (i.e., a free vibration) and n is called the coefficient of damping. Let x=Aeλt, we have: (2.134)λ2+2nλ+ωo2=0 The solutions to Eq. (2.134) are: (2.135)λ1,2=−n±n2−ωo2 ...
eigenpairs and system matrices are derived to obtain the FRF matrix. The relationships satisfied by eigensolutions and system matrices are established by combining the two power-series expansions. By using the relationships, an explicit expression on the ...