A distributed parameter model of a frame pin‐supported wall structure

Pan, Peng; Wu, Shoujun; Nie, Xin

doi:10.1002/eqe.2550

Cited by 29 publications

(22 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This force profile is a reasonable representation of the inertial forces for PWF systems because the dynamic response of these structures is dominated by the first (ie, fundamental) mode of vibration. The wall and frames are connected by reliable connectors (eg, shear connectors) that transfer horizontal shear forces in between. The damper forces result in axial forces and moments in the wall as well as axial forces in the frame columns, which should be considered during the design of the structure.…”

Section: Continuous Model For Dual System With Metallic Dampersmentioning

confidence: 99%

“…Then, Equation can be transformed as

\frac{d^{4} y}{d ξ^{4}} - λ^{2} \frac{d^{2} y}{d ξ^{2}} = \frac{p ((), ξ) H^{4}}{{italicEI}_{w}}

λ = H \sqrt{\frac{C_{F}}{{EI}_{w}}}

where, λ is referred to as the frame‐to‐wall stiffness ratio, a parameter describing the total stiffness of the frames and dampers with respect to the pin‐supported wall. Note that the governing Equation is similar in form as that of the undamped system in Pan et al, except that the parameter λ herein incorporates the effect of the dampers (ie, increase in lateral stiffness) through the inclusion of C eq in C F . As C eq approaches 0, the behavior of the damped system approaches that of the undamped system, which comprises pin‐ended rigid links for the wall‐to‐frame connections that can only transfer shear forces between the frames and the wall.…”

Section: Continuous Model For Dual System With Metallic Dampersmentioning

confidence: 99%

“…For the inverted triangle lateral load profile, let q represent the external force intensity, which satisfies q = p ( ξ = 1) (Figure 1B). The solution of Equation can be carried out by substituting the same boundary conditions as in Pan et al, resulting in

y ((), ξ) = \frac{{italicqH}^{2}}{C_{F}} ([], ((), \frac{1}{2} - \frac{1}{λ^{2}}) ξ + \frac{sinh ((), λξ)}{λ^{2} sinh ((), λ)} ‐ \frac{ξ^{3}}{6}) .

…”

Section: Continuous Model For Dual System With Metallic Dampersmentioning

confidence: 99%

“…Similar as given in Pan et al, the shear force distributions of the frames and pin‐supported wall can also be derived as,

{\overset{true¯}{V}}_{w} = \frac{‐ {EI}_{w}}{H^{3}} \frac{d^{3} y}{d ξ^{3}} = \frac{qH}{λ^{2}} ([], 1 - \frac{λ cosh ((), λξ)}{sinh ((), λ)})

{\overset{true¯}{V}}_{f} = V_{total} - {\overset{true¯}{V}}_{w} = italicqH ([], \frac{1}{2} - \frac{ξ^{2}}{2} - \frac{1}{λ^{2}} + \frac{cosh ((), λξ)}{λ sinh ((), λ)})

where

{\overset{true¯}{V}}_{w}

and

{\overset{true¯}{V}}_{f}

are the generalized shear force in the wall and frame, respectively.…”

Section: Continuous Model For Dual System With Metallic Dampersmentioning

confidence: 99%

“…The cross sections of the pin‐supported walls in the 2 PWF systems are 4200 mm × 120 mm and 4200 mm × 600 mm, resulting in a frame‐to‐wall stiffness ratio ( λ ) of 1.73 and 1.88, respectively. According to the research, λ less than 10 is suggested in design of the pin‐supported wall. Therefore, the walls in the 2 structures are believed rigid enough to enforce the frames to respond in a globally “rocking” mode.…”

Section: Plastic Design Approach For Pin‐supported Wall‐frame System mentioning

confidence: 99%

See 4 more Smart Citations

Linear‐elastic lateral load analysis and seismic design of pin‐supported wall‐frame structures with yielding dampers

Sun

Kurama

Zhang

et al. 2017

Earthq Engng Struct Dyn

View full text Add to dashboard Cite

Summary This paper describes an analytical investigation on a reinforced concrete lateral load resisting structural system comprising a pin‐supported (base‐rocking) shear wall coupled with a moment frame on 1 or both sides of the wall. Yielding dampers are used to provide supplemental energy dissipation through the relative displacements at the vertical connections between the wall and the frames. The study extends a previous linear‐elastic model for pin‐supported wall‐frame structures by including the effects of the dampers. A closed‐form solution of the lateral load behavior of the structure is derived by approximating the discrete wall‐frame‐damper interactions with distributed (ie, continuous) properties. The validity of the model is verified by comparing the closed‐form results with computational models using OpenSees program. Then, a parametric analysis is conducted to investigate the effects of the wall, frame, and damper stiffness on the behavior of the structure. It is found that the damper stiffness significantly affects the distribution of shear forces and bending moments over the wall height. Finally, the performance‐based plastic design approach extended to the wall‐frame‐damper system is proposed. Case studies are carried out to design 2 damped pin‐supported wall‐frame structures using the proposed approach. Nonlinear dynamic time‐history analyses are conducted to verify the effectiveness of this method. Results indicate that the designed structures can achieve the performance level with the story drift ratios less than target values, and weak‐story failure mechanism is not observed. The approach can be used in engineering applications.

show abstract

Section: Continuous Model For Dual System With Metallic Dampersmentioning

confidence: 99%

“…Then, Equation can be transformed as

\frac{d^{4} y}{d ξ^{4}} - λ^{2} \frac{d^{2} y}{d ξ^{2}} = \frac{p ((), ξ) H^{4}}{{italicEI}_{w}}

λ = H \sqrt{\frac{C_{F}}{{EI}_{w}}}

Section: Continuous Model For Dual System With Metallic Dampersmentioning

confidence: 99%

y ((), ξ) = \frac{{italicqH}^{2}}{C_{F}} ([], ((), \frac{1}{2} - \frac{1}{λ^{2}}) ξ + \frac{sinh ((), λξ)}{λ^{2} sinh ((), λ)} ‐ \frac{ξ^{3}}{6}) .

…”

Section: Continuous Model For Dual System With Metallic Dampersmentioning

confidence: 99%

“…Similar as given in Pan et al, the shear force distributions of the frames and pin‐supported wall can also be derived as,

{\overset{true¯}{V}}_{w} = \frac{‐ {EI}_{w}}{H^{3}} \frac{d^{3} y}{d ξ^{3}} = \frac{qH}{λ^{2}} ([], 1 - \frac{λ cosh ((), λξ)}{sinh ((), λ)})

{\overset{true¯}{V}}_{f} = V_{total} - {\overset{true¯}{V}}_{w} = italicqH ([], \frac{1}{2} - \frac{ξ^{2}}{2} - \frac{1}{λ^{2}} + \frac{cosh ((), λξ)}{λ sinh ((), λ)})

where

{\overset{true¯}{V}}_{w}

and

{\overset{true¯}{V}}_{f}

are the generalized shear force in the wall and frame, respectively.…”

Section: Continuous Model For Dual System With Metallic Dampersmentioning

confidence: 99%

Section: Plastic Design Approach For Pin‐supported Wall‐frame System mentioning

confidence: 99%

See 3 more Smart Citations

Linear‐elastic lateral load analysis and seismic design of pin‐supported wall‐frame structures with yielding dampers

Sun

Kurama

Zhang

et al. 2017

Earthq Engng Struct Dyn

View full text Add to dashboard Cite

show abstract

Higher mode effects in frame pin‐supported wall structure by using a distributed parameter model

Pan

Zhang

2016

Earthq Engng Struct Dyn

View full text Add to dashboard Cite

Frame pin-supported wall structure is a kind of rocking structure, which releases constraints at the bottom of the wall. The wall is affiliated to the frame and can rotate around the hinge. Previous studies have investigated seismic performance (such as deformation pattern and plastic hinge distribution) of frame pin-supported wall structure. Strength demand of this system was investigated through static pushover analysis. However, dynamic characteristics, especially higher mode effects, remain to be quantified. As demonstrated in several researches, higher mode effects have non-negligible effects on seismic response. For this purpose, a distributed model for analyzing higher mode effects in frame pin-supported wall structure was proposed, where the pin-supported wall and the frame were simplified as a bending beam and a shear beam, respectively. The model was solved by differential equations derived from equilibrium and compatibility. Displacement and inner force distribution of frame pin-supported wall structure in higher modes were quantified according to the model. Influence of critical parameters, such as wall stiffness and structure period, was assessed on higher mode effects. It was demonstrated that response in higher modes cannot be neglected in the design of frame pin-supported wall structure. Capacity design based on the fundamental mode is not conservative, especially in the wall. Furthermore, pin-supported walls tend to force the frame to vibrate in the rocking mode and suppress higher mode effects in the frame. n and T n are related to the relative stiffness λ, bending stiffness of pin-supported wall E w I w , shear stiffness of frame K, and the total height of the structure H, while λ is determined by E w I w , K, and H.

show abstract

Performance analysis of rocking shear wall‐frame structure

Xia

2020

Structural Design Tall Build

View full text Add to dashboard Cite

SummaryIncorporating the shear deformation effect of the shear wall and the restrained moment effect of the link beam, a continuum model is presented to conduct the preliminary analysis of the rocking shear wall‐frame structure. It can be applicable to fixed/hinged systems with link beams fixed/hinged at the ends and to clamped/rocking shear wall‐frame structures with clamped/rocking shear wall at the base. Its comprehension can improve the accuracy and integrality of the analytical theory for shear wall‐frame structures. Analytical solutions to three loading scenarios are derived and make manual computation possible. A finite element with the analytical solutions as the shape functions is presented. This formulation is convenient to analyze the stepped shear wall‐frame structures with variable cross sections along the height and under complicated loads. The frequency equations and mode shapes are also derived. Numerical examples demonstrate the accuracy and excellent predictions of the present model and the finite element formulation.

show abstract

A distributed parameter model of a frame pin‐supported wall structure

Cited by 29 publications

References 6 publications

Linear‐elastic lateral load analysis and seismic design of pin‐supported wall‐frame structures with yielding dampers

Linear‐elastic lateral load analysis and seismic design of pin‐supported wall‐frame structures with yielding dampers

Higher mode effects in frame pin‐supported wall structure by using a distributed parameter model

Performance analysis of rocking shear wall‐frame structure

Contact Info

Product

Resources

About