你应该试试下面的代码，为我工作

import 'dart:async';
import 'package:attendance/components/appbar.dart';
import 'package:attendance/homepage.dart';
import 'package:flutter/material.dart';

class _SplashScreenState extends State<SplashScreen>
with SingleTickerProviderStateMixin {


void handleTimeout() {
  Navigator.of(context).pushReplacement(new MaterialPageRoute(
    builder: (BuildContext context) => new MyHomePage()));
}

startTimeout() async {
  var duration = const Duration(seconds: 3);
  return new Timer(duration, handleTimeout);
}

@override
void initState() {
  // TODO: implement initState
  super.initState();

  _iconAnimationController = new AnimationController(
      vsync: this, duration: new Duration(milliseconds: 2000));

  _iconAnimation = new CurvedAnimation(
      parent: _iconAnimationController, curve: Curves.easeIn);
  _iconAnimation.addListener(() => this.setState(() {}));

  _iconAnimationController.forward();

  startTimeout();
}

@override
Widget build(BuildContext context) {
  return new Scaffold(
    body: new Scaffold(
      body: new Center(
        child: new Image(
        image: new AssetImage("images/logo.png"),
        width: _iconAnimation.value * 100,
        height: _iconAnimation.value * 100,
      )),
    ),
  );
}
}

@Collin Jackson和@Sniper都是对的。你可以按照以下步骤分别在android和iOS上设置启动映像。然后在你的MyApp()中，在你的initState()中，你可以使用Future.delayed来设置定时器或调用任何api。在Future返回响应之前，你的启动图标将会显示，然后随着响应的到来，你可以在启动画面后移动到你想要去的屏幕。您可以看到此链接:颤振启动画面

你应该试试下面的代码，为我工作

import 'dart:async';
import 'package:attendance/components/appbar.dart';
import 'package:attendance/homepage.dart';
import 'package:flutter/material.dart';

class _SplashScreenState extends State<SplashScreen>
with SingleTickerProviderStateMixin {


void handleTimeout() {
  Navigator.of(context).pushReplacement(new MaterialPageRoute(
    builder: (BuildContext context) => new MyHomePage()));
}

startTimeout() async {
  var duration = const Duration(seconds: 3);
  return new Timer(duration, handleTimeout);
}

@override
void initState() {
  // TODO: implement initState
  super.initState();

  _iconAnimationController = new AnimationController(
      vsync: this, duration: new Duration(milliseconds: 2000));

  _iconAnimation = new CurvedAnimation(
      parent: _iconAnimationController, curve: Curves.easeIn);
  _iconAnimation.addListener(() => this.setState(() {}));

  _iconAnimationController.forward();

  startTimeout();
}

@override
Widget build(BuildContext context) {
  return new Scaffold(
    body: new Scaffold(
      body: new Center(
        child: new Image(
        image: new AssetImage("images/logo.png"),
        width: _iconAnimation.value * 100,
        height: _iconAnimation.value * 100,
      )),
    ),
  );
}
}

SplashScreen(
          seconds: 3,
          navigateAfterSeconds: new MyApp(),
          // title: new Text(
          //   'Welcome In SplashScreen',
          //   style: new TextStyle(fontWeight: FontWeight.bold, fontSize: 20.0),
          // ),
          image: new Image.network('https://upload.wikimedia.org/wikipedia/commons/thumb/b/bd/Tesla_Motors.svg/1200px-Tesla_Motors.svg.png'),
          backgroundColor: Colors.white,
          styleTextUnderTheLoader: new TextStyle(),
          photoSize: 150.0,
          loaderColor: Colors.black),
    ),
  );

添加如下所示的页面和路由可能会有所帮助

import 'dart:async';

import 'package:flutter/material.dart';
import 'package:flutkart/utils/flutkart.dart';
import 'package:flutkart/utils/my_navigator.dart';

class SplashScreen extends StatefulWidget {
  @override
  _SplashScreenState createState() => _SplashScreenState();
}

class _SplashScreenState extends State<SplashScreen> {
  @override
  void initState() {
    // TODO: implement initState
    super.initState();
    Timer(Duration(seconds: 5), () => MyNavigator.goToIntro(context));
  }

  @override
  Widget build(BuildContext context) {
    return Scaffold(
      body: Stack(
        fit: StackFit.expand,
        children: <Widget>[
          Container(
            decoration: BoxDecoration(color: Colors.redAccent),
          ),
          Column(
            mainAxisAlignment: MainAxisAlignment.start,
            children: <Widget>[
              Expanded(
                flex: 2,
                child: Container(
                  child: Column(
                    mainAxisAlignment: MainAxisAlignment.center,
                    children: <Widget>[
                      CircleAvatar(
                        backgroundColor: Colors.white,
                        radius: 50.0,
                        child: Icon(
                          Icons.shopping_cart,
                          color: Colors.greenAccent,
                          size: 50.0,
                        ),
                      ),
                      Padding(
                        padding: EdgeInsets.only(top: 10.0),
                      ),
                      Text(
                        Flutkart.name,
                        style: TextStyle(
                            color: Colors.white,
                            fontWeight: FontWeight.bold,
                            fontSize: 24.0),
                      )
                    ],
                  ),
                ),
              ),
              Expanded(
                flex: 1,
                child: Column(
                  mainAxisAlignment: MainAxisAlignment.center,
                  children: <Widget>[
                    CircularProgressIndicator(),
                    Padding(
                      padding: EdgeInsets.only(top: 20.0),
                    ),
                    Text(
                      Flutkart.store,
                      softWrap: true,
                      textAlign: TextAlign.center,
                      style: TextStyle(
                          fontWeight: FontWeight.bold,
                          fontSize: 18.0,
                          color: Colors.white),
                    )
                  ],
                ),
              )
            ],
          )
        ],
      ),
    );
  }
}

如果你想坚持到底，请参见: https://www.youtube.com/watch?v=FNBuo-7zg2Q

在flutter中添加启动画面的最简单的方法是imho这个包: https://pub.dev/packages/flutter_native_splash

安装指南(由软件包作者提供):

1. 设置启动画面

将您的设置添加到项目的pubspec中。Yaml文件或在根项目文件夹中创建一个名为flutter_native_splash的文件。Yaml与您的设置。

flutter_native_splash:
  image: assets/images/splash.png
  color: "42a5f5"

图像必须为PNG文件。

你也可以在颜色中使用#。颜色:“# 42 a5f5” 如果你不想为特定平台创建启动画面，你也可以将android或ios设置为false。

flutter_native_splash:
  image: assets/images/splash.png
  color: "42a5f5"
  android: false

如果你的图像应该使用所有可用的屏幕(宽度和高度)，你可以使用填充属性。

flutter_native_splash:
  image: assets/images/splash.png
  color: "42a5f5"
  fill: true

注意:填充属性还没有在iOS启动画面中实现。

如果你想在Android上禁用全屏闪屏，你可以使用android_disable_fullscreen属性。

flutter_native_splash:
  image: assets/images/splash.png
  color: "42a5f5"
  android_disable_fullscreen: true

2. 运行包

添加设置后，运行with的包

Flutter pub运行flutter_native_splash:创建 当包完成运行时，你的启动画面就准备好了。