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Nonlinear Vibration Analysis of Functionally GradedNanobeam Using Homotopy Perturbation Method

Advances in Applied Mathematics and Mechanics 2017年第1期9卷 144-156页

作者： Majid Ghadiri mohsen safi Faculty of Engineering Department of MechanicsImam Khomeini International UniversityQazvinIran

In this paper, He’s homotopy perturbation method is utilized to obtainthe analytical solution for the nonlinear natural frequency of functionally gradednanobeam. The functionally graded nanobeam is modeled using the Eringen’s nonlocalelasticity theory based on Euler-Bernoulli beam theory with von Karman nonlinearityrelation. The boundary conditions of problem are considered with both sidessimply supported and simply supported-clamped. The Galerkin’s method is utilizedto decrease the nonlinear partial differential equation to a nonlinear second-order ordinarydifferential equation. Based on numerical results, homotopy perturbationmethodconvergence is illustrated. According to obtained results, it is seen that the second termof the homotopy perturbation method gives extremely precise solution.

关键词： Homotopy perturbation method Lindstedt-Poincare method analytical solution nonlocal nonlinear free vibration functionally graded nanobeam

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Pathways to Psychiatry Care among Children with Mental Health Problems

引用

International Journal of Mental Health Promotion 2022年第4期24卷 539-550页

作者： Hisham A.Ramy Soheir H.Elghonemy Nesreen M.mohsen safi M.Nagib Mohamed Y.Mohamed Neuropsychiatry Department Ain Shams UniversityCairo11566Egypt

Many children with mental health problems in Egypt,as in many other countries,do not receive the help they *** the pathways of care is crucial for the early detection and treatment of these *** study examined referral patterns and the duration of untreated psychiatric illness of 350 children attending two urban clinical settings in *** were made using the Kiddie Schedule for Affective Disorder and Schizophrenia for School-aged children present and lifetime(K-SADS-PL),Child behavior checklist(CBCL,)and the Stanford-Binet Intelligence *** 46.3%,the most distressing symptom was behavioral problems.A delay in seeking psychiatric help was *** family history,and lower socioeconomic class were asso-ciated with delays in psychiatric *** 39.7%of patients,theﬁrst contact was with a *** children were referred by *** programs are needed to increase knowledge about and to decrease the duration of untreated illness.

关键词： Pathways to care children service mental illness referral

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