Uncertain static analysis of an engineering structure with diverse type of non-deterministic system parameter is investigated in this study unlike the traditional hybrid uncertain static analysis. These uncertainties and on robustness analysis and design of uncertain structures and systems (boulet et al, 1997 crespo and kenny, 2005 chen et al, are for the static problems of traditional passive or uncontrolled structures recently, the author proposed of uncertain structures and dynamic systems is devel-oped systematically. Static analysis of uncertain structures using interval eigenvalue decomposition 1 mehdi modares and 2 robert l mullen 1 department of civil and environmental engineering tufts university medford, ma, 02155 2 department of civil engineering case western reserve university. Structural dynamics, therefore, is a type of structural analysis which covers the behavior of structures subjected to dynamic (actions having high acceleration) loading dynamic loads include people, wind, waves, traffic, earthquakes , and blasts.
Abstract: static analysis is an essential procedure to design a structure using static analysis, the structure’s response to the applied external forces is obtained this response includes internal forces/moments and internal stresses that is used in the design process however, the mechanical. If it changes slowly, the structure's response may be determined with static analysis, but if it varies quickly (relative to the structure's ability to respond), the response must be determined with a dynamic analysis. Uncertain static and dynamic analysis of imprecisely defined structural systems mathematics of uncertainty modeling in the analysis of engineering and science problems, 357-382 12700 sunrise valley drive, suite 200.
Static analysis of uncertain structures using interval eigenvalue decomposition 7 therefore, the system’s global stiffness matrix in the presence of any uncertainty is the linear summation of the contributions of non-deterministic interval element stiffness matrices:. The procedures usually adopted in the evaluation of the stochastic response of structures with uncertain parameters, the so-called stochastic structures, are affected by some limits. Hence in a static structural analysis the only applicable loads on a rigid part are acceleration and rotational velocity loads you can also apply loads to a rigid part via joint loads the output from a rigid part is the overall motion of the part plus any force transferred via that part to the rest of the structure.
This paper presents the random factor method (rfm) and interval factor method (ifm) for the static analysis of truss structures with uncertainty from the static governing equations of finite element method, the computational expressions for the mean value and standard deviation of structural displacement and stress are developed by using the rfm. In this book we are mainly concerned with the analysis of framed structures ( beam, plane truss, space truss, plane frame, space frame and grid ), arches, cables and suspension bridges subjected to static loads only. In this paper, by combining the finite element analysis and non-probabilistic convex models, we present the numerical algorithm of non-probabilistic convex models and interval analysis method for the static displacement of structures with uncertain-but-bounded parameters.
Uncertain static analysis of an engineering structure with diverse type of non-deterministic system parameter is investigated in this study unlike the traditional hybrid uncertain static analysis involving random and interval variables, the concept of random and interval fields has been implemented to model the spatially dependent uncertainties associated with the system inputs. Dynamic analysis of prestressed cables 69 approaches to ﬂexible beam dynamics, such as the ‘shadow beam’ approach, lead to a cumber-some expression of the same, even under the assumption of small strains. Semidefinite programming for uncertain linear equations in static analysis of structures particularly, we aim at finding a bounding ellipsoid for static response of structures, where both external forces and elastic moduli of members are assumed to be imprecisely known and bounded.
Uncertain bounds on the mode shapes for a structure with uncertain parameters may be computed by completing a pseudo-deterministic (central) analysis to determine deterministic natural circular frequencies. The solution when the information on the parameters of analyzed problem is uncertainfor some mechanical problems with probabilistic parameters, a constraint to be satisfied is added in engineering design, the a space-probabilistic separation approach for structure static reliability analysis. This work considers the modeling of uncertain structural systems using interval analysis by representing each uncertain parameter as an interval number, a static structural analysis problem can be expressed in the form of a system of linear interval equations a static structural analysis problem can be expressed in the form of a system of. Abstract this chapter presents the static and dynamic analysis of structures with uncertain parameters using fuzzy finite element method uncertainties presents in the parameters are modelled through convex normalised fuzzy sets.
Structural analysis is the determination of the effects of loads on physical structures and their componentsstructures subject to this type of analysis include all that must withstand loads, such as buildings, bridges, vehicles, furniture, attire, soil strata, prostheses and biological tissue. Uncertain static plane stress analysis of continuous structure involving interval fields is investigated in this study unlike traditional interval analysis of discrete structure, the interval field is adopted to model the uncertainty, as well as the dependency between the physical locations and degrees of variability, of all interval system. Main objective of structural analysis is to determine internal forces, stresses and deformations of structures under various load effects structural modeling is a tool to establish three mathematical models, including. Proposed for the static  and dynamic  analysis of linear uncertain structural systems, to the solution of non-linear stochastic problems in the proposed method, when applied to the.
In this study, the uncertain static analysis of euler-bernoulli type functionally graded structures with probabilistic parameters is investigated an effective, yet efficient, computational method is proposed within the framework of the finite element analysis (fea. Dynamic analysis of uncertain structures using imprecise probability rec 2014 – modares and bergerson which obtains interval bounds on mode shapes and modal participation factors and the maximum modal. Further used in the uncertain analysis of structures in a wide range as discussed above, if the structural parameters and the external loads are described in imprecise terms, then fuzzy theory can be applied static analysis of structural problems there is a difference. Z qiu and x wang, “parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis,” international journal of solids and structures, vol 42, no 18-19, pp 4958–4970, 2005.