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   Nonlinear natural frequencies and primary resonance of Euler-Bernoulli beam with initial deflection using nonlocal elasticity theory  
   
نویسنده sari m.s. ,al-qaisiab a.
منبع jordan journal of mechanical and industrial engineering - 2016 - دوره : 10 - شماره : 3 - صفحه:161 -169
چکیده    In the present work,we study the primary responses of euler-bernoulli beam with initial imperfection/rise. the nonlocal elasticity theory was used to derive the mathematical model to account for the scale effect of the considered beam. one type of beams was considered in the analysis; simply supported beam. the multi-mode approach was used to obtain the reduced nonlinear temporal equations of motion that contain quadratic and cubic nonlinear terms. the method of multiple-scales was applied to obtain approximate analytical solutions for the nonlinear natural frequencies in addition to the primary and resonance responses. the obtained results were presented over a selected range of physical parameters for the two types of beams such as; beam initial rise/imperfection,scale effect parameter and excitation level. © 2016 jordan journal of mechanical and industrial engineering.
کلیدواژه Beam rise; Geometric nonlinearity; Nonlocal elasticity; Resonance; Scale parameter
آدرس department of mechanical and maintenance engineering,german jordanian university,amman, Jordan, department of mechanical engineering,the university of jordan,amman, Jordan
 
     
   
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