TY - JOUR JF - mdrsjrns JO - Modares Mechanical Engineering VL - 13 IS - 3 PY - 2013 Y1 - 2013/6/01 TI - Random vibration of cantilever tapered beam under stochastic excitation TT - ارتعاشات اتفاقی تیر مقطع متغیر یکسرگیردار تحت تحریک تصادفی N2 - In this study random vibration of a cantilever tapered beam under distributed stationary stochastic excitation with Gaussian probability density function is investigated. early free vibration analysis is performed to obtain the mode shapes of beam in form of Bessel functions, then the response is described in summation of mode shapes, and auto correlation of response is shaped by considering the mode shapes of tapered beam, also spectral density matrix of excitation is derived with cooperation of mode shapes and two dummy variables. in next step by means of frequency response and taking Fourier integral of autocorrelation of response, spectral density of displacement is computed and by using spectral density of displacement, variance of random displacements for various positions along the beam are achieved. Finally elasticity equation is applied to derive random strain and stress of beam. Comparing the variance of random stress with yield stress of beam leads to obtain probability of beam failure. SP - 138 EP - 154 AU - Irani, Saeid AU - Sazesh, Saeid AD - Assistant Professor/ Khaje Nasir Toosi University of Technology KW - random vibration KW - Tapered beam KW - Spectral Density KW - Probability of Yield UR - http://mme.modares.ac.ir/article-15-8672-en.html ER -