Two fitting formulas of the ratio between dynamic critical load and static critical load of spherical shell subjected vertical step load are presented in this paper.

Effects of Initial Imperfection and Initial Static Displacement on Dynamic Stabi lity of Single Layer Reticulated Domes Subjected to Vertical Step Load

Based on the comprehensive numerical analysis of single layer reticulated domes subjected to vertical step load,the effects of initial imperfection and initial static displacement on dynamic stability behavior are presented.

Based on analysis of dynamic behavior of single-layer spherical shells subjected to harmonic loads with different frequencies and step loads with different duration, and under different site conditions and earthquake waves with different platform, the relationships between structural response and frequency characteristic, as well as the excitation duration are built up, by which the most unfavorable loads of single-layer spherical shells are obtained.

(2) Under either horizontal or vertical step loads, when the duration is closed to the half natural period of the largest mode participation coefficient in the direction of the load, the dynamic structural response is the strongest, and the limit load is the lowest.

On the other hand, when the structure is subjected to step loads, the amount of plastic members is larger, the strength failure is easier to happen and the lowest limit load is generally relative to strength failure.

In this paper,non-linear dynamic responses of single-layer spherical shells subjected to harmonic loads and step loads are analyzed,in which both the geometric non-linearity and the material non-linearity are all taken into account.

Dynamic stability of double-layer reticular prestressed latticed shell under earthquake action,sudden load and harmonic load is discussed withdiferent parameter.

Based on the studying of dynamic stability of double-layer reticular prestressed latticed shell under horizontal and vertical sudden load ,the quantitative relationship of double-layer reticular prestressed latticed shell under horizontal and vertical sudden load and static load is discussed.

Research focuses on the responses of single-layer reticulated domes of kiewitt under sudden load. The characteristics of structure responses are analyzed according to multiple index,and the definition of the failure of structures is given.

From the composed result, we can know it is a feasible measure. Summarizing the study situation of dynamic stability in special structure, the paper analyzed the dynamic time-history curve of the huge reticulated structure on step loading with the method of dynamic tracing and judge structures' dynamic instability with space principle.

In this paper, four kinds of K8 single-layer spherical shells with spans of 40m and 50m, and rise-span ratios of 1/5 and 1/7 respectively are analyzed. The most unfavorable loads for the structures subjected to aforementioned loads are investigated, in which geometric non-linearity and material non-linearity are taken into account.

Let its dynamic buckling under step load be reduced to a bifurcation problem caused by the propagation of axial elastic-plastic stress wave.

The infinitely long layers are joined together by an elastic bonding agent and one of the layers is subjected to a step load which moves with a constant speed along the layer.

Metastability and chaoslike phenomena in nonlinear dynamic buckling of a simple two-mass system under step load

Nonlinear dynamic buckling of nonlinearly elastic dissipative/nondissipative multi-mass systems, mainly under step load of infinite duration, is studied in detail.

A set of wave propagation and structural dynamics problems, subjected to various load forms such as Heaviside step load, triangular blast load and ramped wind load, are modelled using the new approach.

The problems researched can be facilely transformed into Riemann-Hilbert problems and analytical solution to an asymmetrical propagation crack under the condition of point loads and unit-step loads, respectively, is acquired.

A simple approximate method has also been used to predict the maximum dynamic response to step loads from the results for static loads.

Damped response of thin plates to step loads including geometric nonlinearity

This paper presents an approximate solution of the large deflection damped response of thin isotropic circular and rectangular plates subjected to step loads.

A novel method (Fuzzy factor method) is presented, which is used in the dynamic response analysis of fuzzy stochastic truss structures under fuzzy stochastic step loads.

In this paper, a dynamic response of elastic-plastic thick plates is analysed by using known elastic solutions. Formulas have been derived here in detail for analyzing the dynamic response of simply supported rectangular thick plates subjected to a uniform step load. The general purpose program for the digital computer is also worked out. Detailed computations are performed for the square plates of various height span ratios. The results essentially consistent with those obtained from the finite element method....

In this paper, a dynamic response of elastic-plastic thick plates is analysed by using known elastic solutions. Formulas have been derived here in detail for analyzing the dynamic response of simply supported rectangular thick plates subjected to a uniform step load. The general purpose program for the digital computer is also worked out. Detailed computations are performed for the square plates of various height span ratios. The results essentially consistent with those obtained from the finite element method. The method presented in this paper may be extended to the thick plates with more complex boundary.

The equilibrium equations of elastic circular arches are established using the principle of virtual work. The nonlinear partial differential equations of motion are solved using a finite difference method (Park's method for time difference). The dynamic stability of a hinged and a clamped elastic circular arch with a uniform step load is analyzed with finite deformation and initial imperfection. Results show that the buckling mode varies with the value of the arch half angle, θ0. The boundary condition and initial...

The equilibrium equations of elastic circular arches are established using the principle of virtual work. The nonlinear partial differential equations of motion are solved using a finite difference method (Park's method for time difference). The dynamic stability of a hinged and a clamped elastic circular arch with a uniform step load is analyzed with finite deformation and initial imperfection. Results show that the buckling mode varies with the value of the arch half angle, θ0. The boundary condition and initial imperfection amplitude also have effects on the buckling mode. Both the direct and indirect buckling form are discussed. The effect of θ0 on the ratio Pd/Ps(Pdis the dynamic critical load and P,the static critical load. ) is shown for different initial imperfections and different boundary conditions.

In this paper, a precise solution of the dynamic response of a circular plate subjected to a transverse step-concentrated force non-axisymmetrically loaded is investigated by the method of mode superposition. The result obtained is expressed with the Fourier-Bessel series. The solution of a cilcular plate subjected to an axisymmetric transverse step-concentrated load is only the particular case of this solution. Numerical examples are given for a clamped circular plate subjected to this kind of loading. The...

In this paper, a precise solution of the dynamic response of a circular plate subjected to a transverse step-concentrated force non-axisymmetrically loaded is investigated by the method of mode superposition. The result obtained is expressed with the Fourier-Bessel series. The solution of a cilcular plate subjected to an axisymmetric transverse step-concentrated load is only the particular case of this solution. Numerical examples are given for a clamped circular plate subjected to this kind of loading. The deflection vs. time curves of some typical points of the plate are given.