## To analyze the influence of the joint surface, a three-dimensional fractal contact model based on the influence of domain expansion factor is used to identify stiffness and damping of the joint surface. 접합면의 영향을 분석하기 위해 도메인 확장 계수의 영향을 기반으로 하는 3차원 프랙탈 접촉 모델을 사용하여 접합면의 강성과 감쇠를 식별합니다.

A detachable design method of large-sized structure for heavy duty machine tool based on joint surface dynamics characteristic analysis

## In this paper, a stiffness model of contact surfaces based on a modified three-dimensional fractal contact model is built, which is in accordance with the experiment results. 본 논문에서는 실험 결과에 따라 수정된 3차원 프랙탈 접촉 모델을 기반으로 접촉면의 강성 모델을 구축하였다.

Dynamic and Stability Analysis of Multibolt Plane Joints under Normal Forces

## A fractal contact model of the asperity on the raceway surface is established. 궤도면의 요철의 프랙탈 접촉 모델이 설정됩니다.

A modeling method for predicting the precision loss of the preload double-nut ball screw induced by raceway wear based on fractal theory

## Considering the influence of roughness on the normal contact stiffness of gears, a fractal contact model suited for gear pair contact has been established. 기어의 수직 접촉 강성에 대한 거칠기의 영향을 고려하여 기어 쌍 접촉에 적합한 프랙탈 접촉 모델이 확립되었습니다.

An improved model for meshing characteristics analysis of spur gears considering fractal surface contact and friction

## Meanwhile, the contact displacement and contact stiffness of the edge are obtained by fractal contact theory. 한편, 모서리의 접촉 변위와 접촉 강성은 프랙탈 접촉 이론에 의해 얻어진다.

Nonlinear behavior of disk spring with complex contact state.

## The fluid torque was calculated by applying the average shear stress model and the load-carrying capacity of asperity was determined on the basis of the fractal contact theory. 유체토크는 평균전단응력모델을 적용하여 계산하였고 요철의 하중지지력은 프랙탈접촉이론에 기초하여 결정하였다.

Theoretical Model and Experimental Research on Friction and Torque Characteristics of Hydro-viscous Drive in Mixed Friction Stage

## A fractal contact model of the asperity on the raceway surface is established. 궤도면의 요철의 프랙탈 접촉 모델이 설정됩니다.

A modeling method for predicting the precision loss of the preload double-nut ball screw induced by raceway wear based on fractal theory

## Considering the fractal characteristics of rough surface topography, the fractal contact stiffness of contact surfaces is introduced into the system model from the perspective of microscopic contact, and the effects of two important surface fractal parameters, fractal dimension D and fractal roughness G, on the stability and nonlinearity of the system are analyzed. 거친 표면 지형의 프랙탈 특성을 고려하여 접촉면의 프랙탈 접촉 강성을 미세한 접촉의 관점에서 시스템 모델에 도입하고 두 가지 중요한 표면 프랙탈 매개변수인 프랙탈 차원 D와 프랙탈 거칠기 G가 안정성에 미치는 영향 및 시스템의 비선형성이 분석됩니다.

Analysis of complex modal instability of a minimal friction self-excited vibration system from multiscale fractal surface topography

10.1016/j.mechmachtheory.2020.104219

## Considering the influence of roughness on the normal contact stiffness of gears, a fractal contact model suited for gear pair contact has been established. 기어의 수직 접촉 강성에 대한 거칠기의 영향을 고려하여 기어 쌍 접촉에 적합한 프랙탈 접촉 모델이 확립되었습니다.

An improved model for meshing characteristics analysis of spur gears considering fractal surface contact and friction

## This paper describes a new fractal contact model for a rough three-dimensional friction surface considering scale dependence. 이 논문은 스케일 의존성을 고려한 거친 3차원 마찰 표면에 대한 새로운 프랙탈 접촉 모델을 설명합니다.

A Three-Dimensional Fractal Contact Model for a Rough Friction Surface With Multiple-Scale Asperities

## A revised fractal contact model considering asperity interactions is proposed. 돌기 상호작용을 고려한 수정된 프랙탈 접촉 모델이 제안됩니다.

A Stiffness Model for Bolted Joints Considering Asperity Interactions of Rough Surface Contact

## First, based on the Kogut–Etsion contact model and the Majumdar–Bhushan (MB) fractal contact model, the maximum static friction coefficient model between nano-scale surfaces was established. 먼저 Kogut-Etsion 접촉 모델과 Majumdar-Bhushan(MB) 프랙탈 접촉 모델을 기반으로 나노 스케일 표면 간의 최대 정지 마찰 계수 모델을 설정했습니다.

Friction Mechanism and Characteristics of Reticle Based on Contact Theory

## Meanwhile, the contact displacement and contact stiffness of the edge are obtained by fractal contact theory. 한편, 모서리의 접촉 변위와 접촉 강성은 프랙탈 접촉 이론에 의해 얻어진다.

Nonlinear behavior of disk spring with complex contact state.

## The fractal contact model of the asperity surface was proposed for simulating mutual contact state and contact load between the asperities. 요철 표면의 프랙탈 접촉 모델은 요철 간의 상호 접촉 상태와 접촉 하중을 시뮬레이션하기 위해 제안되었습니다.

Load-Bearing Capacity Investigation of Friction Pairs in Hydro-Viscous Drive Based on Fractal Contact Theory

## In this paper, a fractal contact model based on the W-M function is used to explore the connection between the static friction and the normal load. 본 논문에서는 정지마찰과 수직하중 사이의 관계를 탐색하기 위해 W-M 함수에 기반한 프랙탈 접촉 모델을 사용하였다.

Properties Analysis of Disk Spring with Effects of Asymmetric Variable Friction

## To analyze the influence of the joint surface, a three-dimensional fractal contact model based on the influence of domain expansion factor is used to identify stiffness and damping of the joint surface. 접합면의 영향을 분석하기 위해 도메인 확장 계수의 영향을 기반으로 하는 3차원 프랙탈 접촉 모델을 사용하여 접합면의 강성과 감쇠를 식별합니다.

A detachable design method of large-sized structure for heavy duty machine tool based on joint surface dynamics characteristic analysis

## In this paper, a stiffness model of contact surfaces based on a modified three-dimensional fractal contact model is built, which is in accordance with the experiment results. 본 논문에서는 실험 결과에 따라 수정된 3차원 프랙탈 접촉 모델을 기반으로 접촉면의 강성 모델을 구축하였다.

Dynamic and Stability Analysis of Multibolt Plane Joints under Normal Forces

## The fractal contact mechanics model produces a theoretical foundation for further study of the wear mechanisms of friction surface. 프랙탈 접촉 역학 모델은 마찰 표면의 마모 메커니즘에 대한 추가 연구를 위한 이론적 토대를 제공합니다.

Scale Dependence of Fractal Contact Mechanics Model for Friction Surface

## The fluid torque was calculated by applying the average shear stress model and the load-carrying capacity of asperity was determined on the basis of the fractal contact theory. 유체토크는 평균전단응력모델을 적용하여 계산하였고 요철의 하중지지력은 프랙탈접촉이론에 기초하여 결정하였다.

Theoretical Model and Experimental Research on Friction and Torque Characteristics of Hydro-viscous Drive in Mixed Friction Stage

## Then, considering multi-asperity contact at the micro perspective, the relationship between contact pressure and interfacial virtual material parameters for each sub-layer is established by using the fractal contact theory. 그런 다음 미시적 관점에서 다중 돌기 접촉을 고려하여 프랙탈 접촉 이론을 사용하여 각 하위 레이어에 대한 접촉 압력과 계면 가상 재료 매개변수 간의 관계를 설정합니다.

Non-uniform virtual material modeling on contact interface of assembly structure with bolted joints

## The traditional virtual material method is based on the M–B fractal contact theory. 전통적인 가상 재료 방법은 M-B 프랙탈 접촉 이론을 기반으로 합니다.

Equivalent Method of Joint Interface Based on Persson Contact Theory: Virtual Material Method

## The complex contact moduli of the uneven interfaces of the joints, featuring multi-asperity contact at the micro perspective, were derived using the fractal contact theory. 미시적 관점에서 다중 돌기 접촉을 특징으로 하는 조인트의 고르지 않은 인터페이스의 복잡한 접촉 계수는 프랙탈 접촉 이론을 사용하여 유도되었습니다.

Effects of contact between rough surfaces on the dynamic responses of bolted composite joints: Multiscale modeling and numerical simulation