The Optimum Rigidity Ratio of Beam to Column of Typical Regular R.C Frame Structure under Frequent Horizontal Seismic Action

This paper focuses on the typical regular R. C frame structure. Considering the fact thatframe structure still works at its elastic stage under frequent horizontal seismic action, and based on theprinciple of structure optimum design and the theory of anti - seismic design, a structure optimum modewhose control objective is apex lateral displacement is presental for frame structure.And an optimunobjective function is consequently determined . Finally this paper gives the calculation formula for sections'dimension of beams and columns of typical regular R. C frame structure. And the form of beamsnd columns optimum rigidity ratio is presented for engineers' reference.     

THE OVERALL LOAD-BEARING CAPACITY AND EFFECTIVE LENGTHS OF STEPPED COLUMNS OF PINNED R.C.PORTAL FRAMES WITH FIXED BASES

In this paper,a computer program for nonlinear analysis ofa special frame is developed.The frame has all columns fixed at the base and hinged at the top.By taking the frame as a whole,the behavior ofthe frame is studied from the test results of three specimens of the frame andlarge amount of results of computer program.The minimun value of total sumof vertical loads sustained by the frame is found and a new method of deter-mining the effective length of stepped columns is suggested.     

Nonlinear Analysis Technique of Refined Plastic-hinge Method for Steel Frame Structures

The refined plastic-hinge method is one of the simplified advanced analysis methods. The second order effects of the whole structure and its members, geometric imperfections and residual stress as well as the feature of semi-rigid connections can be taken into account in this method. The refined plastic-hinge method can be used in advanced analysis and design of planar steel frames, while its use in the advanced analysis of space frames needs to be developed. The technique associated with the dealing of different inelastic factors in advanced analysis of both the planar and space steel frames with practical refined plastic-hinge method and the available way to extend planar frame analysis to space frame analysis are reviewed in detail. The problems of the refined plastic-hinge method for advanced analysis are discussed in this paper.     

Capacity Design Measure in Seismic Design of RC Mega-Frame Structures

It provides several typical mega plane frame designs on condition that the variables are the combination of varying amplification factors of moment at bottom sections of ground floor columns of the minor frame on the major beams. The elastic-plastic dynamic analysis program Drain-2d+ of the plane structure is used to get elastic-plastic time-history analysis for each typical mega frame under the action of seism. The autuors obtain the information of the mechanical transmutation characteristics, the emergency of the plastic hinge and the weak point of the whole structure under the action of seism, from which the correct thinking of how to obtain the design value of amplification factors of moments at bottom sections of ground floor columns of the minor frame on the major beams is found. The reasonable design values are recommended in order to provide some suggestions for the design of the reinforced concrete mega-frame structure.     

Research on Deformation Equation and Dynamic Properties of Hybrid Structure

Based on the principle of interactive analysis,the deformation equation of hybrid structure which contains rigid character value is established using the analysis of the frame - shear wall structure for reference, considering the rigid zone between concrete beam and concrete - tube, the shear deformation of concrete - tube, axial deformation of steel frames and semi - rigid connection between steel columns and concrete beams. Assuming the hybrid structure to be a continuous elastic structure with infinite degree of freedom, a free vibration equation has been built and the formula for calculating free vibration period has been deduced. The influences of various parameters to the coefficient of free vibration period relating to rigid character value are discussed according to some diagrams. It is shown that the rigid zone can lessen the free vibration period but the shear deformation of concrete - tube, axial deformation of steel frames, and the semi -rigid connection between steel columns and concrete beams can enhance the free vibration period.     

Modeling and Its Application of Reinforced Concrete Columns Considering Nonlinear Shear Effects

A fiber beam-column element in conjunction with zero-length elements attached to its ends was proposed to simulate the flexural and shear mechanism respectively. Based on the Limit State Material model and the Shear Limit Curve model provided by OpenSees, the nonlinear shear effect of reinforced concrete column and its coupling with the flexural effect were defined. The reliability of the proposed model was validated by means of comparisons with existing test results. Finally, a plane frame from in-situ pushover test was simulated. It is shown that the proposed method, by taking the nonlinear shear effect into account, produces satisfactory results for frame columns with shear strength and stiffness degradation, while the conventional fiber beam-column element can hardly simulate actual flexure-shear failure mechanism for columns characterized by insufficient transverse reinforcement. The proposed method is applicable for nonlinear analysis of reinforced concrete frame structures with shear deficiencies.     

Calculation Methods for Steel Frame Structure Based on the Structural Ultimate Bearing Capacity

The existing problems in calculation approach for multi-story and high-rise steel frame structure are summarized. As the shearing deformation is considered, the analysis methods for steel frame structure are put forward based on the structural ultimate bearing capacity, which is on the basis of second order inelasticity analysis for steel structure. In the approach, the tangent module brought forward by Bleich, F. is used, the second-order refined plastic hinge method presented by Liew, J. Y. R. is modified.     

Calibration of Seismic Provisions for RC Frame in Different Earthquake-Intensity Regions in China

With examples of three 6-storey RC frames by using an elasto-plastic dynamic analysis program PL-AFJD of plane frame, developed by the second author of this paper, the frames designed for different earthquake-intensity regions (intensity category 7, 8, 9 respectively) are analyzed nonlinearly under four ground motions at the action of rare earthquake. Three frames strictly conform to the National Standard GBJ10-89 and the dimensions of columns are changed once along the height. The structure designed on intensity category 7 shows a relatively small response, which could be sustained by the structure. Though the hinge formation in columns can not be prevented, the inelastic deformation of columns is not serious, the structure at intensity category 9 exhibits a relative strong response, but the deformation of most columns is within the capacity and the trend to form a soft-storey does not appear. It is the structure at intensity category 8 that shows a severe response. Though the visible soft-storey can not be found, the deformation of some columns is beyond the capacity of inelastic hysteretic deformation under certain inputs, which indicate the possibility of local collapse.The elementary analysis results demonstrate the different effectiveness of seismic provisions for three different earthquake-intensity regions, which may be a reference to the amendment of National Design Standard.     

Inelastic Seismic Response of Ordinary Reinforced Concrete Regular Frames

With an inelastic dynamic analysis program developed by the authors, seismic response analysis of regular RC frames designed to Chinese codes in different earthquake fortification zones are carried out. The results indicate that the displacement responses of structures are improved due to the more rigorous limitation on the inter-story drift under frequent earthquakes in the revised codes. The frames in seismic-intensity-9 zone designed to the former codes and the revised codes form plastic energy-dissipated mechanisms mostly With beam hinges, which can satisfy the requirement of seismic performance expectably. The frame in seismic-intensity-8 zone designed to the former code forms a plastic energy- dissipated mechanisms mostly with column hinges and shows a risk of occurrence of story-sway mechanism, while the frame in seismic-intensity-8 zone designed to the revised codes exhibits a relatively improved seismic performance but still with excessive column hinges, which suggests a need to further increase the column moment amplification measures for this kind of frames. The frame in seismic-intensity-7 zone shows a somewhat improved seismic performance than the frames in seismic-intensity-8 zone, but the protection to columns by the seismic measures is sill insufficient, which indicates that the column moment amplification measures for this kind of frames should be enhanced further.     

An ALgorithm of the Second Kind Fuzzy Reliability

Based on L.A.Zadeh's idea of fuzzy probability operation in his language probability which space is fuzzy probability,the concrete algorithm of the second kind fuzzy reliability of engineering structure/system is researched.The calculating equation of the fuzzy probabiliy of the second kind fuzzy reliability is given out by using the extension principle for fuzzy sets.The fuzzy set decompose theorem,which satesfies the closed probability operation,is given out and proved.The method calculating fuzzy reliability of that structure/system is studied,where the resistance and load effect of the structure/system have probability.The analysis indicates that the calculation of the second kind fuzzy reliability for a structure/system can be transformed into a series of solving optimum programming.The result of the example indicates the rationality of above algorithm.     

Progressive Collapse Analysis of RC Frame Using Vertical Nonlinear Dynamic Analysis

Progressive Collapse Analysis (PCA) is the base of quantitative assessment of progressive collapse-resisting capacity and progressive collapse-resisting design. There has been heightened interest among researchers of civil engineering in PCA. PCA of planar RC frame is carried on by vertical nonlinear dynamic analysis based on alternate load path method. According to responses of damage structure, progressive collapse-resisting capacity of remaining structure is evaluated. Two cases of removal of elements are analyzed, removal of columns at different stories on the same axes one by one and removal of all columns on the same axes at the same time. According to analysis of the effect of failure duration on structural progressive collapse, it is showed that the response of remaining structure is highly sensitive to failure duration of elements. The results indicate that vertical nonlinear dynamic analysis is an efficient method of progressive collapse-resisting design and progressive collapse-resisting capacity analysis.     

RC Frame Component's Stiffness Reduction Factor Considering Non-elastic Characteristics

The simplified method, in which second-order elasticity analysis having undergone stiffness reduction is employed to research into sway frames' second order effect, has begun to be accepted by Chinese Standard. In the proper ascertainment of the value of stiffness reduction factor considering non-elastic characteristic, it is advisable to properly choose the checking computation method of the stiffness reduction on the basis of a comprehensive analysis of RC frame. Combined with a contrastive analysis of the present schemes in USA and New Zealand, a scheme to ascertain the RC frames component's stiffness reduction is proposed for the revision of the Chinese Standard.     

SNAP-BUCKLING OF THIN SHALLOW CONICAL SHELLS UNDER LINE LOADS

A theoretical analysis is presented for the snap-buckling behavior of thin shallow conical shells under axisymmetric line loads. By making use of the integral equation method and the modified iteration method, the second approximate formulas of elastic behavior are given. The effects of geometrical parameters and boundary conditions on the snap-buckling behavior are discussed     

田间试验的一种新设计——数独方

数独是近年流行的一种益智游戏, 其最常见模式是在一个9行×9列又再分成9区共81个小格的方中, 填入适当的数字, 使每一行、每一列、每一区都含有数字1~9, 不重复。通过一般化地研究数独方的构成、设计、数学模型和统计分析方法, 使之成为田间试验的一种新设计。这种设计能够安排重复k次的k个处理或一个试验因素的k个水平, 能在行、列、区3个方向控制土壤-环境的变异性, 其处理平均数之间的比较将比拉丁方设计更为精确。     

Experimental Study on Shear Strength of High Strength Concrete Columns

On basis of the experiment on sixteen high strength concrete columns, their shear behaviors are analysed. The effects of shear-span ratio and axial compression ratio on failure behavior, cracking shear and shear strength are analysed. The authors have discussed the suitability of the design equations for shear strength in the code. This experimental study on shear strength of high strength concrete frame columns is the first one in this field at home and the results can be served as reference for the code of high strength concrete design.     

Galerkin Boundary Element Method for Laplace Equation

Galerkin method based on the variation principle is used to solve differential and integral equations. The boundary problem of Laplace equation is changed into the variational equation which is equivalent to the boundary integral equation. Using linear element, it is solved by Galerkin boundary element method. In computation of stiffness matrix, the exactly integral formula is used in the first order integral expression, The numerical integral formula is used in the second order integral expression. Thus the problem of calculation of double singular integral is carried out. The numerical experiments also prove this method is reliable. The error of Galerkin boundary element is tested with numerical experimentation.     

Critical Temperature of Axially Restrained Steel Columns withPartial Fire Retardant Coating Damage

In order to investigate the fire resistance of steel columns with partial fire retardant coating damage in fire, based on the differential equation of equilibrium on each portion of steel column, the deflection of steel column after the fire retardant coating damage was derived, with the pined ends and rigid ends of the columns at elevated temperatures. The critical temperature calculation method was proposed for partial fire protection damage and axial restrained steel columns by taking the edge yielding criteria. The deflection and axial displacement were verified by finite element method at elevated temperature. With a case study, the critical temperature and relationship of axial force and temperature were obtained for pined column with axial restraint. It was shown that the axial force of the steel column at elevated temperatures was increased and the critical temperature was decreased by the axial restraint. The longer the fire retardant coating damage was and the higher the axial restraint was, the lower the critical temperature was.     

Computer simulation of all terrain vehicle vibration performance

In order to assess the vibration performance of all terrain vehicles, a half vehicle model with 10 degrees of freedom was built. The model was solved using the time domain method. Road surface irregularity excites the model and was generated by a trigonometric function. Based on this model, the beaming of the frame was analyzed. The results show that the first beaming and second beaming influence the vibration significantly. As a result, a half vehicle model that includes the first two beamings of the frame can satisfy the vehicle vibration analysis precision requirements. Driver ride quality was evaluated according to ISO2631 1.     

Seismic Tests and Pushover Analysis of Spatial RC Frame-Shear Wall Structures

Pseudo-static tests of three one-storey spatial RC frame-shear wall structures with floor slabs were conducted to investigate their failure modes and hysteretic behaviors. The test results were compared with those of pushover analysis. It is shown that: 1) damage of the frame beams occurs later and is less than that of the shear wall and the frame columns; 2) damage of the floor slabs under lateral loading is significant in regions close to the shear wall, and tensile stresses of slabs' steel bars in these regions are much larger; 3) in comparison with the case that the floor slabs are neglected, the maximum lateral load that a frame-shear wall structure can bear is larger in the case that the floor slabs are taken into account, and the contribution ratio of the shear wall also increases; 4) shear forces carried by the frame columns with identical cross sections and reinforcement details but located at different positions are close to each other on the whole.     

CALCULATING SYSTEM FOR SECOND-ORDER EFFECT IN THE COLUMNS OF REINFORCED CONCRETE FRAMES

This paper makes an analysis and comparison of the calculatingsystem for second-order effect in columns of reinforced concrete frames proposedby scholars at home and abroad,and the systems adopted by codes of manycountries.The focus is on explaining the conceptual error and deficiency in somemethods.After expounding the basic law of the second-order effect in framecolumns with different restraints,this paper suggests an improvement of thecalculating system for second-order effect in frame columns for China's DesignCode of Concrete Structures.