In the present research, free vibration and modal stress analyses of thin circular plates with arbitrary edge conditions, resting on two-parameter elastic foundations are investigated.  Both Pasternak and Winkler parameters are adopted to model the elastic foundation. The differential transform method (DTM) is used to solve the eigenvalue equation yielding the natural frequencies and mode shape...

Elements based on the exact stiffness matrix method contain an embedded analytical solution that can capture detailed local fields, enabling more efficient mesh independent finite element analysis. In the present study, this method was applied to adhesively bonded joints. The adherends were modeled as Euler-Bernoulli beams, and the adhesive layer was modeled as a bed of linear shear and normal ...

The solution of nonlinear dynamic equilibrium equations using mode superposition and substructuring is studied. The objective is to design schemes that in some analyses can significantly decrease the computational effort involved when compared to a complete direct integration solution. Specific schemes for mode superposition analysis and substructuring are proposed. These techniques have been i...

The effects of loading rate on the reinforced concrete beams are experimentally studied in the present paper. Firstly, the effects of strain rate on the different grades of concrete are investigated using the electro-hydraulic servo-controlled testing system at the strain rate that might be experienced during earthquakes. Based on the test results, the dynamic increasing factors (DIF) of concre...

The finite element model of the seven connection heads an automotive body in white is established, and stiffness calculation carried out by taking lower joint B pillar as example. Nine values were obtained for each branch, which can be written a 3 × symmetric matrix. front back bending stiffness, torsional internal external are with decoupling method. Based on this, unrigid rigid joints three r...

   The main purpose of the present investigation is to analyze more comprehensively the size-dependent nonlinear free vibration response of multilayer functionally graded graphene platelet-reinforced composite (GPLRC) nanobeams. As a consequence, both of the hardening stiffness and softening stiffness of size effect are taken into consideration by implementation of the nonlocal str...

Still today, some of the phenomena which occur in structural dynamics cannot be described, even using a properly updated model: some uncertainties remain. This paper presents the basic concepts of a new theory which uses the concept of Lack of Knowledge (LOK) to model the uncertainty using two bounds of the energy in each substructure. The inverse problem, which consists in determining the Lack...

Using numerical integration in the formulation of the finite-element geometric stiffness matrix and placing movable nodes at integration points causes the geometric stiffness matrix to become lumped or diagonal. The consistent geometric stiffness matrix which is a non-diagonal matrix, is normally used in the finite-element eigenvalue buckling problem. Altering the method to deliver a diagonal (...

Abstract Based on ANSYS finite element analysis software, a method of extracting stiffness matrix four-point contact ball bearing was proposed. The model established, the stress and strain under different loads were calculated, relationship between load analyzed, global matrices turntable with steel aluminum as inner ring materials are extracted compared, causes large changes in analyzed.