Joint preload uncertainties and associated geometrical nonlinearities have a direct impact on the design process and decision making of structural systems. Thus, it is important to develop analytical models of elastic structures with bolted joint stiffness uncertainties. The conventional boundary value problem of these systems usually involves time-dependent boundary conditions that will be converted into autonomous ones using a special coordinate transformation. The resulting boundary conditions will be combined with the governing nonhomogeneous, nonlinear partial differential equation that will include the influence of the boundary conditions uncertainty. Two models of the joint stiffness uncertainty are considered. The first represents the uncertainty by a random variable, while the second considers the relaxation process of the joint under dynamic loading. For a single mode random excitation the response statistics will be estimated using Monte Carlo simulation. The influence of joint uncertainty on the response center frequency, mean square, and power spectral density will be determined for the case of clamped-clamped beam. For the case of joints with time relaxation the response process is found to be nonstationary and its spectral density varies with time. Under random excitation, the response bandwidth is found to increase as the excitation level increases and becomes more stationary. Under sinusoidal excitation, it is shown that the relaxation process of the joints may result in bifurcation of the response amplitude, when even all excitation parameters are fixed.
Skip Nav Destination
Article navigation
January 2001
Technical Papers
Modeling and Simulation of Elastic Structures with Parameter Uncertainties and Relaxation of Joints
S. L. Qiao,
S. L. Qiao
Wayne State University, Department of Mechanical Engineering, Detroit, MI 48202
Search for other works by this author on:
V. N. Pilipchuk,
V. N. Pilipchuk
Wayne State University, Department of Mechanical Engineering, Detroit, MI 48202
Search for other works by this author on:
R. A. Ibrahim
R. A. Ibrahim
Wayne State University, Department of Mechanical Engineering, Detroit, MI 48202
Search for other works by this author on:
S. L. Qiao
Wayne State University, Department of Mechanical Engineering, Detroit, MI 48202
V. N. Pilipchuk
Wayne State University, Department of Mechanical Engineering, Detroit, MI 48202
R. A. Ibrahim
Wayne State University, Department of Mechanical Engineering, Detroit, MI 48202
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received Feb. 2000; revised Aug. 2000. Associate Editor: L. A. Bergman.
J. Vib. Acoust. Jan 2001, 123(1): 45-52 (8 pages)
Published Online: August 1, 2000
Article history
Received:
February 1, 2000
Revised:
August 1, 2000
Citation
Qiao , S. L., Pilipchuk , V. N., and Ibrahim, R. A. (August 1, 2000). "Modeling and Simulation of Elastic Structures with Parameter Uncertainties and Relaxation of Joints ." ASME. J. Vib. Acoust. January 2001; 123(1): 45–52. https://doi.org/10.1115/1.1325409
Download citation file:
Get Email Alerts
Comprehensive Analysis of Input Shaping Techniques for a Chain Suspended From an Overhead Crane
J. Vib. Acoust (August 2024)
Related Articles
Determination of Nonstationary Stochastic Response of Linear Oscillators With Fractional Derivative Elements of Rational Order
J. Appl. Mech (April,2024)
Variational Inequality Approach to Free Boundary Problems with Applications in Mould Filling. ISNM, Vol 136
Appl. Mech. Rev (November,2002)
Effect of Boundary Conditions on Nonlinear Vibrations of Circular Cylindrical Panels
J. Appl. Mech (July,2007)
Compatibility Equations in the Theory of Elasticity
J. Vib. Acoust (April,2003)
Related Proceedings Papers
Related Chapters
Random Turbulence Excitation in Single-Phase Flow
Flow-Induced Vibration Handbook for Nuclear and Process Equipment
Processing/Structure/Properties Relationships in Polymer Blends for the Development of Functional Polymer Foams
Advances in Multidisciplinary Engineering
Introduction
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow