Abstract
Non-uniform structures and composite materials have advantages in engineering applications, such as light weight design, multi-functionality, and better buckling/flutter load capacity. For composite structures under dynamic loading conditions, reliability is a key problem to be analyzed during practical operations. However, there is little research work on non-uniform composite structural reliability analysis under random load. The forced vibration response of non-uniform composite beam under random load is firstly solved by the Adomian Decomposition Method (ADM) and iterative process for reliability analysis. Different variation laws of the cross-section rigidity and mass distribution along the length of the non-uniform composite beam structures are analyzed. Various angular frequency and amplitude of random base motion acceleration following Gaussian distribution are considered. Influences of different random excitations and structural design on vibration responses and reliability are studied. The larger mean and variance of excitation frequency leads to the smaller amplitude and strain of the beam, while greater mean and variance of the base motion excitation amplitude will induce the higher maximum amplitude and strain values and lower reliability. The influences of structural design on reliability are studied. The reliability increases with the increment of taper ratios of the host beam and composite layer. The iteration mathematical model and numerical solutions proposed in this paper can be used to solve and analyze vibration responses and reliability of general non-uniform composite beam structures under arbitrary excitation during a certain period of time.
Highlights
Non-uniform composite beams, including functionally graded materials (FGM) beams, have important applications in engineering because they can change geometric and material properties, while most of the excitations applied on mechanical structures in nature and engineering practice are random forces
Forresponses a non-uniform composite beam excited byabase motion random load,the vibration at the free end experience process from with constant frequency and amplitude of acceleration which are the average of the ones of the random load, the vibration responses at the free end experience a process from transient to steady state with the time increment
For the multiple layered composite beam, different design parameters lead to different reliability results
Summary
Non-uniform composite beams, including functionally graded materials (FGM) beams, have important applications in engineering because they can change geometric and material properties, while most of the excitations applied on mechanical structures in nature and engineering practice are random forces. There is no explicit expression for the random load whose excitation frequency and amplitude are changing, so the analytical solution of forced vibration at each time point needs to be solved by iterative method. To deal with this challenge, a model combining ADM and iteration numerical process is proposed to solve the vibration response and dynamic stressdistribution of the non-uniform composite beams for reliability analysis in this research. The vibration responses and reliability of a general non-uniform beam with tapered composite layers and host beam under random load are calculated and analyzed. The reliability of non-uniform beams with different taper ratios of composite layers and host beam is solved and analyzed
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